Least Common Multiple of 96/57, 85/40, 992/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/57, 85/40, 992/49 quickly i.e. 252960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/57, 85/40, 992/49 is 252960.

LCM(96/57, 85/40, 992/49) = 252960

LCM of 96/57, 85/40, 992/49

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 96/57,85/40,992/49

Given numbers are 96/57,85/40,992/49

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 96,85,992

Least Common Multiple of Numerators i.e. LCM of 96,85,992 is 252960.

GCF of Denominators means GCF of 57,40,49 as per the given fractions.

GCF of 57,40,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,85,992

LCM of Fractions 96/57,85/40,992/49 is 252960

2 96, 85, 992
2 48, 85, 496
2 24, 85, 248
2 12, 85, 124
2 6, 85, 62
3, 85, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 85 x 31 = 252960

Least Common Multiple of 96,85,992 with GCF Formula

Least Common Multiple of 96,85,992 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 96,85,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,85,992) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(96,85,992) x common factors =1 x 32 = 32

LCM(96,85,992) = ( 96 × 85 × 992 ) / 32

LCM(96,85,992) = 8094720 / 32

LCM(96,85,992) = 252960


Lets's calculate GCF of 57,40,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252960/1

Therefore the LCM of Fractions 96/57,85/40,992/49 is 252960

Greatest Common Factor of 57,40,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,40,49 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 57,40,49 . The biggest common factor number is the GCF number.
So the greatest common factor 57,40,49 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 96/57, 85/40, 992/49

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 96/57, 85/40, 992/49?

Answer: LCM of Numerators as per given numbers 96/57, 85/40, 992/49 is

LCM of Numerators i.e. for 96,85,992 is 252960

GCF of denominators i.e. for 57,40,49 is 1.

Thus, LCM of Fractions is 252960.Finally, LCM of Fractions for 96/57, 85/40, 992/49 is 252960.