Least Common Multiple of 96/36, 20/458, 150/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/36, 20/458, 150/513 quickly i.e. 2400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/36, 20/458, 150/513 is 2400.

LCM(96/36, 20/458, 150/513) = 2400

LCM of 96/36, 20/458, 150/513

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 96/36,20/458,150/513

Given numbers are 96/36,20/458,150/513

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 96,20,150

Least Common Multiple of Numerators i.e. LCM of 96,20,150 is 2400.

GCF of Denominators means GCF of 36,458,513 as per the given fractions.

GCF of 36,458,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,20,150

LCM of Fractions 96/36,20/458,150/513 is 2400

2 96, 20, 150
2 48, 10, 75
3 24, 5, 75
5 8, 5, 25
8, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 1 x 5 = 2400

Least Common Multiple of 96,20,150 with GCF Formula

Least Common Multiple of 96,20,150 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 96,20,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,20,150) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(96,20,150) x common factors =2 x 60 = 120

LCM(96,20,150) = ( 96 × 20 × 150 ) / 120

LCM(96,20,150) = 288000 / 120

LCM(96,20,150) = 2400


Lets's calculate GCF of 36,458,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2400/1

Therefore the LCM of Fractions 96/36,20/458,150/513 is 2400

Greatest Common Factor of 36,458,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,458,513 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 36,458,513 . The biggest common factor number is the GCF number.
So the greatest common factor 36,458,513 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 96/36, 20/458, 150/513

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 96/36, 20/458, 150/513?

Answer: LCM of Numerators as per given numbers 96/36, 20/458, 150/513 is

LCM of Numerators i.e. for 96,20,150 is 2400

GCF of denominators i.e. for 36,458,513 is 1.

Thus, LCM of Fractions is 2400.Finally, LCM of Fractions for 96/36, 20/458, 150/513 is 2400.