Least Common Multiple of 32/291, 854/138, 980/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/291, 854/138, 980/918 quickly i.e. 478240/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/291, 854/138, 980/918 is 478240/3.

LCM(32/291, 854/138, 980/918) = 478240/3

LCM of 32/291, 854/138, 980/918

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 32/291,854/138,980/918

Given numbers are 32/291,854/138,980/918

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 32,854,980

Least Common Multiple of Numerators i.e. LCM of 32,854,980 is 478240.

GCF of Denominators means GCF of 291,138,918 as per the given fractions.

GCF of 291,138,918 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,854,980

LCM of Fractions 32/291,854/138,980/918 is 478240/3

2 32, 854, 980
2 16, 427, 490
7 8, 427, 245
8, 61, 35

∴ So the LCM of the given numbers is 2 x 2 x 7 x 8 x 61 x 35 = 478240

Least Common Multiple of 32,854,980 with GCF Formula

Least Common Multiple of 32,854,980 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 32,854,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,854,980) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(32,854,980) x common factors =2 x 28 = 56

LCM(32,854,980) = ( 32 × 854 × 980 ) / 56

LCM(32,854,980) = 26781440 / 56

LCM(32,854,980) = 478240


Lets's calculate GCF of 291,138,918

3 291, 138, 918
97, 46, 306

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478240/3

Therefore the LCM of Fractions 32/291,854/138,980/918 is 478240/3

Greatest Common Factor of 291,138,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,138,918 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 291,138,918 . The biggest common factor number is the GCF number.
So the greatest common factor 291,138,918 is 3.


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 32/291, 854/138, 980/918

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 32/291, 854/138, 980/918?

Answer: LCM of Numerators as per given numbers 32/291, 854/138, 980/918 is

LCM of Numerators i.e. for 32,854,980 is 478240

GCF of denominators i.e. for 291,138,918 is 3.

Thus, LCM of Fractions is 478240/3.Finally, LCM of Fractions for 32/291, 854/138, 980/918 is 478240/3.