Least Common Multiple of 976/652, 146/915, 317/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/652, 146/915, 317/137 quickly i.e. 22585616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/652, 146/915, 317/137 is 22585616.

LCM(976/652, 146/915, 317/137) = 22585616

LCM of 976/652, 146/915, 317/137

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 976/652,146/915,317/137

Given numbers are 976/652,146/915,317/137

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 976,146,317

Least Common Multiple of Numerators i.e. LCM of 976,146,317 is 22585616.

GCF of Denominators means GCF of 652,915,137 as per the given fractions.

GCF of 652,915,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,146,317

LCM of Fractions 976/652,146/915,317/137 is 22585616

2 976, 146, 317
488, 73, 317

∴ So the LCM of the given numbers is 2 x 488 x 73 x 317 = 22585616

Least Common Multiple of 976,146,317 with GCF Formula

Least Common Multiple of 976,146,317 with GCF Formula

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 976,146,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,146,317) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(976,146,317) x common factors =1 x 2 = 2

LCM(976,146,317) = ( 976 × 146 × 317 ) / 2

LCM(976,146,317) = 45171232 / 2

LCM(976,146,317) = 22585616


Lets's calculate GCF of 652,915,137

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22585616/1

Therefore the LCM of Fractions 976/652,146/915,317/137 is 22585616

Greatest Common Factor of 652,915,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,915,137 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 652,915,137 . The biggest common factor number is the GCF number.
So the greatest common factor 652,915,137 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 976/652, 146/915, 317/137

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 976/652, 146/915, 317/137?

Answer: LCM of Numerators as per given numbers 976/652, 146/915, 317/137 is

LCM of Numerators i.e. for 976,146,317 is 22585616

GCF of denominators i.e. for 652,915,137 is 1.

Thus, LCM of Fractions is 22585616.Finally, LCM of Fractions for 976/652, 146/915, 317/137 is 22585616.