Least Common Multiple of 72/460, 37/116, 789/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/460, 37/116, 789/423 quickly i.e. 700632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/460, 37/116, 789/423 is 700632.

LCM(72/460, 37/116, 789/423) = 700632

LCM of 72/460, 37/116, 789/423

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 72/460,37/116,789/423

Given numbers are 72/460,37/116,789/423

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 72,37,789

Least Common Multiple of Numerators i.e. LCM of 72,37,789 is 700632.

GCF of Denominators means GCF of 460,116,423 as per the given fractions.

GCF of 460,116,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,37,789

LCM of Fractions 72/460,37/116,789/423 is 700632

3 72, 37, 789
24, 37, 263

∴ So the LCM of the given numbers is 3 x 24 x 37 x 263 = 700632

Least Common Multiple of 72,37,789 with GCF Formula

Least Common Multiple of 72,37,789 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 72,37,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,37,789) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,37,789) x common factors =1 x 3 = 3

LCM(72,37,789) = ( 72 × 37 × 789 ) / 3

LCM(72,37,789) = 2101896 / 3

LCM(72,37,789) = 700632


Lets's calculate GCF of 460,116,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 700632/1

Therefore the LCM of Fractions 72/460,37/116,789/423 is 700632

Greatest Common Factor of 460,116,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,116,423 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 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 460,116,423 . The biggest common factor number is the GCF number.
So the greatest common factor 460,116,423 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 72/460, 37/116, 789/423

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 72/460, 37/116, 789/423?

Answer: LCM of Numerators as per given numbers 72/460, 37/116, 789/423 is

LCM of Numerators i.e. for 72,37,789 is 700632

GCF of denominators i.e. for 460,116,423 is 1.

Thus, LCM of Fractions is 700632.Finally, LCM of Fractions for 72/460, 37/116, 789/423 is 700632.