Least Common Multiple of 936/64, 504/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 936/64, 504/732 quickly i.e. 1638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/64, 504/732 is 1638.

LCM(936/64, 504/732) = 1638

LCM of 936/64, 504/732

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 936/64,504/732

Given numbers are 936/64,504/732

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 936,504

Least Common Multiple of Numerators i.e. LCM of 936,504 is 6552.

GCF of Denominators means GCF of 64,732 as per the given fractions.

GCF of 64,732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,504

LCM of Fractions 936/64,504/732 is 1638

2 936, 504
2 468, 252
2 234, 126
3 117, 63
3 39, 21
13, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 7 = 6552

Least Common Multiple of 936,504 with GCF Formula

Least Common Multiple of 936,504 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 936,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,504) = 72

common factors(in case of two or more numbers have common factors) = 1

GCF(936,504) x common factors =72 x 1 = 72

LCM(936,504) = ( 936 × 504 ) / 72

LCM(936,504) = 471744 / 72

LCM(936,504) = 6552


Lets's calculate GCF of 64,732

2 64, 732
2 32, 366
16, 183

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6552/4

Therefore the LCM of Fractions 936/64,504/732 is 1638

Greatest Common Factor of 64,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,732 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 64,732 . The biggest common factor number is the GCF number.
So the greatest common factor 64,732 is 4.


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Frequently Asked Questions on Fractional LCM of 936/64, 504/732

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 936/64, 504/732?

Answer: LCM of Numerators as per given numbers 936/64, 504/732 is

LCM of Numerators i.e. for 936,504 is 6552

GCF of denominators i.e. for 64,732 is 4.

Thus, LCM of Fractions is 1638.Finally, LCM of Fractions for 936/64, 504/732 is 1638.