Least Common Multiple of 53/61, 52/34, 20/59, 46/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/61, 52/34, 20/59, 46/656 quickly i.e. 316940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/61, 52/34, 20/59, 46/656 is 316940.

LCM(53/61, 52/34, 20/59, 46/656) = 316940

LCM of 53/61, 52/34, 20/59, 46/656

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 53/61,52/34,20/59,46/656

Given numbers are 53/61,52/34,20/59,46/656

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 53,52,20,46

Least Common Multiple of Numerators i.e. LCM of 53,52,20,46 is 316940.

GCF of Denominators means GCF of 61,34,59,656 as per the given fractions.

GCF of 61,34,59,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,52,20,46

LCM of Fractions 53/61,52/34,20/59,46/656 is 316940

2 53, 52, 20, 46
2 53, 26, 10, 23
53, 13, 5, 23

∴ So the LCM of the given numbers is 2 x 2 x 53 x 13 x 5 x 23 = 316940

Least Common Multiple of 53,52,20,46 with GCF Formula

Least Common Multiple of 53,52,20,46 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 53,52,20,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,52,20,46) = 1

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

GCF(53,52,20,46) x common factors =1 x 8 = 8

LCM(53,52,20,46) = ( 53 × 52 × 20 × 46 ) / 8

LCM(53,52,20,46) = 2535520 / 8

LCM(53,52,20,46) = 316940


Lets's calculate GCF of 61,34,59,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316940/1

Therefore the LCM of Fractions 53/61,52/34,20/59,46/656 is 316940

Greatest Common Factor of 61,34,59,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,34,59,656 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 61,34,59,656 . The biggest common factor number is the GCF number.
So the greatest common factor 61,34,59,656 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 53/61, 52/34, 20/59, 46/656

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 53/61, 52/34, 20/59, 46/656?

Answer: LCM of Numerators as per given numbers 53/61, 52/34, 20/59, 46/656 is

LCM of Numerators i.e. for 53,52,20,46 is 316940

GCF of denominators i.e. for 61,34,59,656 is 1.

Thus, LCM of Fractions is 316940.Finally, LCM of Fractions for 53/61, 52/34, 20/59, 46/656 is 316940.