Least Common Multiple of 64/57, 152/98, 332/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/57, 152/98, 332/400 quickly i.e. 100928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/57, 152/98, 332/400 is 100928.

LCM(64/57, 152/98, 332/400) = 100928

LCM of 64/57, 152/98, 332/400

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 64/57,152/98,332/400

Given numbers are 64/57,152/98,332/400

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 64,152,332

Least Common Multiple of Numerators i.e. LCM of 64,152,332 is 100928.

GCF of Denominators means GCF of 57,98,400 as per the given fractions.

GCF of 57,98,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,152,332

LCM of Fractions 64/57,152/98,332/400 is 100928

2 64, 152, 332
2 32, 76, 166
2 16, 38, 83
8, 19, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 19 x 83 = 100928

Least Common Multiple of 64,152,332 with GCF Formula

Least Common Multiple of 64,152,332 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 64,152,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,152,332) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(64,152,332) x common factors =4 x 8 = 32

LCM(64,152,332) = ( 64 × 152 × 332 ) / 32

LCM(64,152,332) = 3229696 / 32

LCM(64,152,332) = 100928


Lets's calculate GCF of 57,98,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100928/1

Therefore the LCM of Fractions 64/57,152/98,332/400 is 100928

Greatest Common Factor of 57,98,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,98,400 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 57,98,400 . The biggest common factor number is the GCF number.
So the greatest common factor 57,98,400 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 64/57, 152/98, 332/400

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 64/57, 152/98, 332/400?

Answer: LCM of Numerators as per given numbers 64/57, 152/98, 332/400 is

LCM of Numerators i.e. for 64,152,332 is 100928

GCF of denominators i.e. for 57,98,400 is 1.

Thus, LCM of Fractions is 100928.Finally, LCM of Fractions for 64/57, 152/98, 332/400 is 100928.