Least Common Multiple of 57/84, 375/57, 315/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/84, 375/57, 315/749 quickly i.e. 149625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/84, 375/57, 315/749 is 149625.

LCM(57/84, 375/57, 315/749) = 149625

LCM of 57/84, 375/57, 315/749

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 57/84,375/57,315/749

Given numbers are 57/84,375/57,315/749

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 57,375,315

Least Common Multiple of Numerators i.e. LCM of 57,375,315 is 149625.

GCF of Denominators means GCF of 84,57,749 as per the given fractions.

GCF of 84,57,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,375,315

LCM of Fractions 57/84,375/57,315/749 is 149625

3 57, 375, 315
5 19, 125, 105
19, 25, 21

∴ So the LCM of the given numbers is 3 x 5 x 19 x 25 x 21 = 149625

Least Common Multiple of 57,375,315 with GCF Formula

Least Common Multiple of 57,375,315 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 57,375,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,375,315) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(57,375,315) x common factors =3 x 15 = 45

LCM(57,375,315) = ( 57 × 375 × 315 ) / 45

LCM(57,375,315) = 6733125 / 45

LCM(57,375,315) = 149625


Lets's calculate GCF of 84,57,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149625/1

Therefore the LCM of Fractions 57/84,375/57,315/749 is 149625

Greatest Common Factor of 84,57,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,57,749 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 84,57,749 . The biggest common factor number is the GCF number.
So the greatest common factor 84,57,749 is 1.


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 57/84, 375/57, 315/749

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 57/84, 375/57, 315/749?

Answer: LCM of Numerators as per given numbers 57/84, 375/57, 315/749 is

LCM of Numerators i.e. for 57,375,315 is 149625

GCF of denominators i.e. for 84,57,749 is 1.

Thus, LCM of Fractions is 149625.Finally, LCM of Fractions for 57/84, 375/57, 315/749 is 149625.