Least Common Multiple of 5408/462, 7883/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5408/462, 7883/724 quickly i.e. 21315632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5408/462, 7883/724 is 21315632.

LCM(5408/462, 7883/724) = 21315632

LCM of 5408/462, 7883/724

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 5408/462,7883/724

Given numbers are 5408/462,7883/724

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 5408,7883

Least Common Multiple of Numerators i.e. LCM of 5408,7883 is 42631264.

GCF of Denominators means GCF of 462,724 as per the given fractions.

GCF of 462,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5408,7883

LCM of Fractions 5408/462,7883/724 is 21315632

Given numbers has no common factors except 1. So, there LCM is their product i.e 42631264

Least Common Multiple of 5408,7883 with GCF Formula

Least Common Multiple of 5408,7883 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 5408,7883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5408,7883) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5408,7883) x common factors =1 x 1 = 1

LCM(5408,7883) = ( 5408 × 7883 ) / 1

LCM(5408,7883) = 42631264 / 1

LCM(5408,7883) = 42631264


Lets's calculate GCF of 462,724

2 462, 724
231, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42631264/2

Therefore the LCM of Fractions 5408/462,7883/724 is 21315632

Greatest Common Factor of 462,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,724 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 462,724 . The biggest common factor number is the GCF number.
So the greatest common factor 462,724 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 5408/462, 7883/724

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 5408/462, 7883/724?

Answer: LCM of Numerators as per given numbers 5408/462, 7883/724 is

LCM of Numerators i.e. for 5408,7883 is 42631264

GCF of denominators i.e. for 462,724 is 2.

Thus, LCM of Fractions is 21315632.Finally, LCM of Fractions for 5408/462, 7883/724 is 21315632.