Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/16, 358/102 quickly i.e. 42244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/16, 358/102 is 42244.
LCM(472/16, 358/102) = 42244
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/16,358/102
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 472,358
Least Common Multiple of Numerators i.e. LCM of 472,358 is 84488.
GCF of Denominators means GCF of 16,102 as per the given fractions.
GCF of 16,102 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,358
2 | 472, 358 |
236, 179 |
∴ So the LCM of the given numbers is 2 x 236 x 179 = 84488
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 472,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,358) x common factors =2 x 1 = 2
LCM(472,358) = ( 472 × 358 ) / 2
LCM(472,358) = 168976 / 2
LCM(472,358) = 84488
Lets's calculate GCF of 16,102
2 | 16, 102 |
8, 51 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84488/2
Therefore the LCM of Fractions 472/16,358/102 is 42244
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 16,102 . The biggest common factor number is the GCF number.
So the greatest common factor 16,102 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 472/16, 358/102?
Answer: LCM of Numerators as per given numbers 472/16, 358/102 is
LCM of Numerators i.e. for 472,358 is 84488
GCF of denominators i.e. for 16,102 is 2.
Thus, LCM of Fractions is 42244.Finally, LCM of Fractions for 472/16, 358/102 is 42244.