Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/338, 653/986, 856/634 quickly i.e. 8664004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/338, 653/986, 856/634 is 8664004.
LCM(62/338, 653/986, 856/634) = 8664004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/338,653/986,856/634
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 62,653,856
Least Common Multiple of Numerators i.e. LCM of 62,653,856 is 17328008.
GCF of Denominators means GCF of 338,986,634 as per the given fractions.
GCF of 338,986,634 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,653,856
2 | 62, 653, 856 |
31, 653, 428 |
∴ So the LCM of the given numbers is 2 x 31 x 653 x 428 = 17328008
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 62,653,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,653,856) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,653,856) x common factors =1 x 2 = 2
LCM(62,653,856) = ( 62 × 653 × 856 ) / 2
LCM(62,653,856) = 34656016 / 2
LCM(62,653,856) = 17328008
Lets's calculate GCF of 338,986,634
2 | 338, 986, 634 |
169, 493, 317 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17328008/2
Therefore the LCM of Fractions 62/338,653/986,856/634 is 8664004
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 338,986,634 . The biggest common factor number is the GCF number.
So the greatest common factor 338,986,634 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 62/338, 653/986, 856/634?
Answer: LCM of Numerators as per given numbers 62/338, 653/986, 856/634 is
LCM of Numerators i.e. for 62,653,856 is 17328008
GCF of denominators i.e. for 338,986,634 is 2.
Thus, LCM of Fractions is 8664004.Finally, LCM of Fractions for 62/338, 653/986, 856/634 is 8664004.