Introduction to LCM HCF maths:
HCF:
In maths, HCF is abbreviated as Highest Common Factor. The other name for HCF are Greatest Common Divisor (GCD), Greatest Common Measure(GCM) and Greatest Common denominator. Two or more number which is positive integer and that number divide the given number exactly without remainder.
LCM:
LCM is abbreviated as least common multiple in maths. The other name of the LCM is smallest common multiple and lowest common multiple. Two rational numbers are consider a and b, are positive. There is a small common integer in the both terms that term is called Least common multiple. Having problem with Cramer's Rule Calculator keep reading my upcoming posts, i will try to help you.
Steps for Calculating Lcm Hcf Maths
Some of the steps for calculating LCM in maths is,
Step 1: Note the given terms.
Step 2: Find the multiples of the term a.
Step 3: find the multiplies of term b.
Step 4: Now note the common multiplies of both a and b.
Step 5: Least common multiple is obtained by choosing small values of common value.
Some of the steps for calculating HCF in maths is,
Step 1: Note the given terms
Step 2: Find the factors of term a
Step 3: Find the factors of term a
Step 4: Note the common factors
Step 5: Highest Common Factor is obtained by multiplying the common factor.
Example Problems for Lcm Hcf Maths
Problem 1:
Calculate the LCM and HCF of 6 and 10.
Solution:
LCM:
The multiplies of 6 are 6, 12, 18, 24, 30, 36,4 2 ,48, 54, 60,…
The multiplies of 10 are 10, 20, 30, 40, 50, 60, 70,…
Common multiplies are 30, 60
LCM=30
HCF:
Factors of 6 is 2, 3
Factors of 10 are 2, 5
Common factors are 2
HCF= 2
Problem 2:
Calculate the LCM and HCF of 16 and 10.
Solution:
LCM:
The multiplies of 16 are 16, 32, 48, 64, 80, 96, 112, 128,…
The multiplies of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90…
Common multiplies are 80, 160
CM=80
HCF:
Factors of 16 is 2, 2, 2, 2
Factors of 10 are 2,5
Common factors are 2
HCF= 2
Problem 3:
Calculate the LCM and HCF of 6 and 18.
Solution:
LCM:
The multiplies of 6 are 6, 12, 18, 24,…
The multiplies of 18 are 18, 36, ..
Common multiplies are 18, 36
LCM=18
HCF:
Factors of 6 is 1, 2, 3
Factors of 18 are 2, 3, and 3
Common factors are 2, 3
HCF= 6
Please express your views of this topic answers to all math problems by commenting on blog.
Practice Problems for Lcm Hcf Maths
Problem 1:
Calculate the LCM and HCF of 5 and 11.
Answer: 55, 1
Problem 2:
Calculate the LCM and HCF of 10 and 18.
Answer: 90, 2
HCF:
In maths, HCF is abbreviated as Highest Common Factor. The other name for HCF are Greatest Common Divisor (GCD), Greatest Common Measure(GCM) and Greatest Common denominator. Two or more number which is positive integer and that number divide the given number exactly without remainder.
LCM:
LCM is abbreviated as least common multiple in maths. The other name of the LCM is smallest common multiple and lowest common multiple. Two rational numbers are consider a and b, are positive. There is a small common integer in the both terms that term is called Least common multiple. Having problem with Cramer's Rule Calculator keep reading my upcoming posts, i will try to help you.
Steps for Calculating Lcm Hcf Maths
Some of the steps for calculating LCM in maths is,
Step 1: Note the given terms.
Step 2: Find the multiples of the term a.
Step 3: find the multiplies of term b.
Step 4: Now note the common multiplies of both a and b.
Step 5: Least common multiple is obtained by choosing small values of common value.
Some of the steps for calculating HCF in maths is,
Step 1: Note the given terms
Step 2: Find the factors of term a
Step 3: Find the factors of term a
Step 4: Note the common factors
Step 5: Highest Common Factor is obtained by multiplying the common factor.
Example Problems for Lcm Hcf Maths
Problem 1:
Calculate the LCM and HCF of 6 and 10.
Solution:
LCM:
The multiplies of 6 are 6, 12, 18, 24, 30, 36,4 2 ,48, 54, 60,…
The multiplies of 10 are 10, 20, 30, 40, 50, 60, 70,…
Common multiplies are 30, 60
LCM=30
HCF:
Factors of 6 is 2, 3
Factors of 10 are 2, 5
Common factors are 2
HCF= 2
Problem 2:
Calculate the LCM and HCF of 16 and 10.
Solution:
LCM:
The multiplies of 16 are 16, 32, 48, 64, 80, 96, 112, 128,…
The multiplies of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90…
Common multiplies are 80, 160
CM=80
HCF:
Factors of 16 is 2, 2, 2, 2
Factors of 10 are 2,5
Common factors are 2
HCF= 2
Problem 3:
Calculate the LCM and HCF of 6 and 18.
Solution:
LCM:
The multiplies of 6 are 6, 12, 18, 24,…
The multiplies of 18 are 18, 36, ..
Common multiplies are 18, 36
LCM=18
HCF:
Factors of 6 is 1, 2, 3
Factors of 18 are 2, 3, and 3
Common factors are 2, 3
HCF= 6
Please express your views of this topic answers to all math problems by commenting on blog.
Practice Problems for Lcm Hcf Maths
Problem 1:
Calculate the LCM and HCF of 5 and 11.
Answer: 55, 1
Problem 2:
Calculate the LCM and HCF of 10 and 18.
Answer: 90, 2
No comments:
Post a Comment