Least Common Multiple of 57/78, 54/26, 99/92, 94/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/78, 54/26, 99/92, 94/227 quickly i.e. 530442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/78, 54/26, 99/92, 94/227 is 530442.

LCM(57/78, 54/26, 99/92, 94/227) = 530442

LCM of 57/78, 54/26, 99/92, 94/227

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 57/78,54/26,99/92,94/227

Given numbers are 57/78,54/26,99/92,94/227

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 57,54,99,94

Least Common Multiple of Numerators i.e. LCM of 57,54,99,94 is 530442.

GCF of Denominators means GCF of 78,26,92,227 as per the given fractions.

GCF of 78,26,92,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,54,99,94

LCM of Fractions 57/78,54/26,99/92,94/227 is 530442

2 57, 54, 99, 94
3 57, 27, 99, 47
3 19, 9, 33, 47
19, 3, 11, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 3 x 11 x 47 = 530442

Least Common Multiple of 57,54,99,94 with GCF Formula

Least Common Multiple of 57,54,99,94 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 57,54,99,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,54,99,94) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(57,54,99,94) x common factors =1 x 54 = 54

LCM(57,54,99,94) = ( 57 × 54 × 99 × 94 ) / 54

LCM(57,54,99,94) = 28643868 / 54

LCM(57,54,99,94) = 530442


Lets's calculate GCF of 78,26,92,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 530442/1

Therefore the LCM of Fractions 57/78,54/26,99/92,94/227 is 530442

Greatest Common Factor of 78,26,92,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,26,92,227 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 78,26,92,227 . The biggest common factor number is the GCF number.
So the greatest common factor 78,26,92,227 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/78, 54/26, 99/92, 94/227

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 57/78, 54/26, 99/92, 94/227?

Answer: LCM of Numerators as per given numbers 57/78, 54/26, 99/92, 94/227 is

LCM of Numerators i.e. for 57,54,99,94 is 530442

GCF of denominators i.e. for 78,26,92,227 is 1.

Thus, LCM of Fractions is 530442.Finally, LCM of Fractions for 57/78, 54/26, 99/92, 94/227 is 530442.