Least Common Multiple of 948/61, 156/29, 854/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 948/61, 156/29, 854/422 quickly i.e. 5262348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 948/61, 156/29, 854/422 is 5262348.

LCM(948/61, 156/29, 854/422) = 5262348

LCM of 948/61, 156/29, 854/422

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 948/61,156/29,854/422

Given numbers are 948/61,156/29,854/422

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 948,156,854

Least Common Multiple of Numerators i.e. LCM of 948,156,854 is 5262348.

GCF of Denominators means GCF of 61,29,422 as per the given fractions.

GCF of 61,29,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 948,156,854

LCM of Fractions 948/61,156/29,854/422 is 5262348

2 948, 156, 854
2 474, 78, 427
3 237, 39, 427
79, 13, 427

∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 13 x 427 = 5262348

Least Common Multiple of 948,156,854 with GCF Formula

Least Common Multiple of 948,156,854 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 948,156,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,156,854) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(948,156,854) x common factors =2 x 12 = 24

LCM(948,156,854) = ( 948 × 156 × 854 ) / 24

LCM(948,156,854) = 126296352 / 24

LCM(948,156,854) = 5262348


Lets's calculate GCF of 61,29,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5262348/1

Therefore the LCM of Fractions 948/61,156/29,854/422 is 5262348

Greatest Common Factor of 61,29,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,29,422 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 61,29,422 . The biggest common factor number is the GCF number.
So the greatest common factor 61,29,422 is 1.


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Frequently Asked Questions on Fractional LCM of 948/61, 156/29, 854/422

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 948/61, 156/29, 854/422?

Answer: LCM of Numerators as per given numbers 948/61, 156/29, 854/422 is

LCM of Numerators i.e. for 948,156,854 is 5262348

GCF of denominators i.e. for 61,29,422 is 1.

Thus, LCM of Fractions is 5262348.Finally, LCM of Fractions for 948/61, 156/29, 854/422 is 5262348.