Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 916/79, 634/2714 quickly i.e. 290372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 916/79, 634/2714 is 290372.
LCM(916/79, 634/2714) = 290372
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 916/79,634/2714
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 916,634
Least Common Multiple of Numerators i.e. LCM of 916,634 is 290372.
GCF of Denominators means GCF of 79,2714 as per the given fractions.
GCF of 79,2714 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 916,634
2 | 916, 634 |
458, 317 |
∴ So the LCM of the given numbers is 2 x 458 x 317 = 290372
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 916,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,634) x common factors =2 x 1 = 2
LCM(916,634) = ( 916 × 634 ) / 2
LCM(916,634) = 580744 / 2
LCM(916,634) = 290372
Lets's calculate GCF of 79,2714
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290372/1
Therefore the LCM of Fractions 916/79,634/2714 is 290372
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 2714
List of positive integer factors of 2714 that divides 2714 without a remainder.
1,2,23,46,59,118,1357,2714
Greatest Common Factor
We found the factors 79,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 79,2714 is 1.
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 916/79, 634/2714?
Answer: LCM of Numerators as per given numbers 916/79, 634/2714 is
LCM of Numerators i.e. for 916,634 is 290372
GCF of denominators i.e. for 79,2714 is 1.
Thus, LCM of Fractions is 290372.Finally, LCM of Fractions for 916/79, 634/2714 is 290372.