Least Common Multiple of 57/90, 51/93, 94/78, 68/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/90, 51/93, 94/78, 68/546 quickly i.e. 60724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/90, 51/93, 94/78, 68/546 is 60724.

LCM(57/90, 51/93, 94/78, 68/546) = 60724

LCM of 57/90, 51/93, 94/78, 68/546

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 57/90,51/93,94/78,68/546

Given numbers are 57/90,51/93,94/78,68/546

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 57,51,94,68

Least Common Multiple of Numerators i.e. LCM of 57,51,94,68 is 182172.

GCF of Denominators means GCF of 90,93,78,546 as per the given fractions.

GCF of 90,93,78,546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,51,94,68

LCM of Fractions 57/90,51/93,94/78,68/546 is 60724

2 57, 51, 94, 68
3 57, 51, 47, 34
17 19, 17, 47, 34
19, 1, 47, 2

∴ So the LCM of the given numbers is 2 x 3 x 17 x 19 x 1 x 47 x 2 = 182172

Least Common Multiple of 57,51,94,68 with GCF Formula

Least Common Multiple of 57,51,94,68 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 57,51,94,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,51,94,68) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(57,51,94,68) x common factors =1 x 102 = 102

LCM(57,51,94,68) = ( 57 × 51 × 94 × 68 ) / 102

LCM(57,51,94,68) = 18581544 / 102

LCM(57,51,94,68) = 182172


Lets's calculate GCF of 90,93,78,546

3 90, 93, 78, 546
30, 31, 26, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182172/3

Therefore the LCM of Fractions 57/90,51/93,94/78,68/546 is 60724

Greatest Common Factor of 90,93,78,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,93,78,546 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

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 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 90,93,78,546 . The biggest common factor number is the GCF number.
So the greatest common factor 90,93,78,546 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 57/90, 51/93, 94/78, 68/546

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 57/90, 51/93, 94/78, 68/546?

Answer: LCM of Numerators as per given numbers 57/90, 51/93, 94/78, 68/546 is

LCM of Numerators i.e. for 57,51,94,68 is 182172

GCF of denominators i.e. for 90,93,78,546 is 3.

Thus, LCM of Fractions is 60724.Finally, LCM of Fractions for 57/90, 51/93, 94/78, 68/546 is 60724.