Least Common Multiple of 53/422, 96/432, 272/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/422, 96/432, 272/149 quickly i.e. 86496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/422, 96/432, 272/149 is 86496.

LCM(53/422, 96/432, 272/149) = 86496

LCM of 53/422, 96/432, 272/149

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 53/422,96/432,272/149

Given numbers are 53/422,96/432,272/149

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 53,96,272

Least Common Multiple of Numerators i.e. LCM of 53,96,272 is 86496.

GCF of Denominators means GCF of 422,432,149 as per the given fractions.

GCF of 422,432,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,96,272

LCM of Fractions 53/422,96/432,272/149 is 86496

2 53, 96, 272
2 53, 48, 136
2 53, 24, 68
2 53, 12, 34
53, 6, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 6 x 17 = 86496

Least Common Multiple of 53,96,272 with GCF Formula

Least Common Multiple of 53,96,272 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 53,96,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,96,272) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(53,96,272) x common factors =1 x 16 = 16

LCM(53,96,272) = ( 53 × 96 × 272 ) / 16

LCM(53,96,272) = 1383936 / 16

LCM(53,96,272) = 86496


Lets's calculate GCF of 422,432,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86496/1

Therefore the LCM of Fractions 53/422,96/432,272/149 is 86496

Greatest Common Factor of 422,432,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,432,149 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 422,432,149 . The biggest common factor number is the GCF number.
So the greatest common factor 422,432,149 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 53/422, 96/432, 272/149

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 53/422, 96/432, 272/149?

Answer: LCM of Numerators as per given numbers 53/422, 96/432, 272/149 is

LCM of Numerators i.e. for 53,96,272 is 86496

GCF of denominators i.e. for 422,432,149 is 1.

Thus, LCM of Fractions is 86496.Finally, LCM of Fractions for 53/422, 96/432, 272/149 is 86496.