Least Common Multiple of 89/57, 979/24, 336/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/57, 979/24, 336/375 quickly i.e. 109648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/57, 979/24, 336/375 is 109648.

LCM(89/57, 979/24, 336/375) = 109648

LCM of 89/57, 979/24, 336/375

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 89/57,979/24,336/375

Given numbers are 89/57,979/24,336/375

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 89,979,336

Least Common Multiple of Numerators i.e. LCM of 89,979,336 is 328944.

GCF of Denominators means GCF of 57,24,375 as per the given fractions.

GCF of 57,24,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,979,336

LCM of Fractions 89/57,979/24,336/375 is 109648

89 89, 979, 336
1, 11, 336

∴ So the LCM of the given numbers is 89 x 1 x 11 x 336 = 328944

Least Common Multiple of 89,979,336 with GCF Formula

Least Common Multiple of 89,979,336 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 89,979,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,979,336) = 1

common factors(in case of two or more numbers have common factors) = 89

GCF(89,979,336) x common factors =1 x 89 = 89

LCM(89,979,336) = ( 89 × 979 × 336 ) / 89

LCM(89,979,336) = 29276016 / 89

LCM(89,979,336) = 328944


Lets's calculate GCF of 57,24,375

3 57, 24, 375
19, 8, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328944/3

Therefore the LCM of Fractions 89/57,979/24,336/375 is 109648

Greatest Common Factor of 57,24,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,24,375 By Matching Biggest Common Factor Method

Factors of 57

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

1,3,19,57

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 57,24,375 . The biggest common factor number is the GCF number.
So the greatest common factor 57,24,375 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 89/57, 979/24, 336/375

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 89/57, 979/24, 336/375?

Answer: LCM of Numerators as per given numbers 89/57, 979/24, 336/375 is

LCM of Numerators i.e. for 89,979,336 is 328944

GCF of denominators i.e. for 57,24,375 is 3.

Thus, LCM of Fractions is 109648.Finally, LCM of Fractions for 89/57, 979/24, 336/375 is 109648.