Least Common Multiple of 42/968, 95/854, 137/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/968, 95/854, 137/264 quickly i.e. 273315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/968, 95/854, 137/264 is 273315.

LCM(42/968, 95/854, 137/264) = 273315

LCM of 42/968, 95/854, 137/264

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 42/968,95/854,137/264

Given numbers are 42/968,95/854,137/264

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 42,95,137

Least Common Multiple of Numerators i.e. LCM of 42,95,137 is 546630.

GCF of Denominators means GCF of 968,854,264 as per the given fractions.

GCF of 968,854,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,95,137

LCM of Fractions 42/968,95/854,137/264 is 273315

Given numbers has no common factors except 1. So, there LCM is their product i.e 546630

Least Common Multiple of 42,95,137 with GCF Formula

Least Common Multiple of 42,95,137 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 42,95,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,95,137) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(42,95,137) x common factors =1 x 1 = 1

LCM(42,95,137) = ( 42 × 95 × 137 ) / 1

LCM(42,95,137) = 546630 / 1

LCM(42,95,137) = 546630


Lets's calculate GCF of 968,854,264

2 968, 854, 264
484, 427, 132

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546630/2

Therefore the LCM of Fractions 42/968,95/854,137/264 is 273315

Greatest Common Factor of 968,854,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,854,264 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 968,854,264 . The biggest common factor number is the GCF number.
So the greatest common factor 968,854,264 is 2.


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 42/968, 95/854, 137/264

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 42/968, 95/854, 137/264?

Answer: LCM of Numerators as per given numbers 42/968, 95/854, 137/264 is

LCM of Numerators i.e. for 42,95,137 is 546630

GCF of denominators i.e. for 968,854,264 is 2.

Thus, LCM of Fractions is 273315.Finally, LCM of Fractions for 42/968, 95/854, 137/264 is 273315.