Least Common Multiple of 53/460, 13/378, 936/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/460, 13/378, 936/262 quickly i.e. 24804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/460, 13/378, 936/262 is 24804.

LCM(53/460, 13/378, 936/262) = 24804

LCM of 53/460, 13/378, 936/262

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 53/460,13/378,936/262

Given numbers are 53/460,13/378,936/262

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 53,13,936

Least Common Multiple of Numerators i.e. LCM of 53,13,936 is 49608.

GCF of Denominators means GCF of 460,378,262 as per the given fractions.

GCF of 460,378,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,13,936

LCM of Fractions 53/460,13/378,936/262 is 24804

13 53, 13, 936
53, 1, 72

∴ So the LCM of the given numbers is 13 x 53 x 1 x 72 = 49608

Least Common Multiple of 53,13,936 with GCF Formula

Least Common Multiple of 53,13,936 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 53,13,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,13,936) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(53,13,936) x common factors =1 x 13 = 13

LCM(53,13,936) = ( 53 × 13 × 936 ) / 13

LCM(53,13,936) = 644904 / 13

LCM(53,13,936) = 49608


Lets's calculate GCF of 460,378,262

2 460, 378, 262
230, 189, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49608/2

Therefore the LCM of Fractions 53/460,13/378,936/262 is 24804

Greatest Common Factor of 460,378,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,378,262 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 460,378,262 . The biggest common factor number is the GCF number.
So the greatest common factor 460,378,262 is 2.


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 53/460, 13/378, 936/262

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 53/460, 13/378, 936/262?

Answer: LCM of Numerators as per given numbers 53/460, 13/378, 936/262 is

LCM of Numerators i.e. for 53,13,936 is 49608

GCF of denominators i.e. for 460,378,262 is 2.

Thus, LCM of Fractions is 24804.Finally, LCM of Fractions for 53/460, 13/378, 936/262 is 24804.