Least Common Multiple of 724/54, 621/9663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/54, 621/9663 quickly i.e. 149868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/54, 621/9663 is 149868.

LCM(724/54, 621/9663) = 149868

LCM of 724/54, 621/9663

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 724/54,621/9663

Given numbers are 724/54,621/9663

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 724,621

Least Common Multiple of Numerators i.e. LCM of 724,621 is 449604.

GCF of Denominators means GCF of 54,9663 as per the given fractions.

GCF of 54,9663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,621

LCM of Fractions 724/54,621/9663 is 149868

Given numbers has no common factors except 1. So, there LCM is their product i.e 449604

Least Common Multiple of 724,621 with GCF Formula

Least Common Multiple of 724,621 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 724,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,621) = 1

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

GCF(724,621) x common factors =1 x 1 = 1

LCM(724,621) = ( 724 × 621 ) / 1

LCM(724,621) = 449604 / 1

LCM(724,621) = 449604


Lets's calculate GCF of 54,9663

3 54, 9663
18, 3221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449604/3

Therefore the LCM of Fractions 724/54,621/9663 is 149868

Greatest Common Factor of 54,9663 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9663 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1,3,3221,9663

Greatest Common Factor

We found the factors 54,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9663 is 3.


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 724/54, 621/9663

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 724/54, 621/9663?

Answer: LCM of Numerators as per given numbers 724/54, 621/9663 is

LCM of Numerators i.e. for 724,621 is 449604

GCF of denominators i.e. for 54,9663 is 3.

Thus, LCM of Fractions is 149868.Finally, LCM of Fractions for 724/54, 621/9663 is 149868.