Least Common Multiple of 244/731, 2976/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 244/731, 2976/365 quickly i.e. 181536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 244/731, 2976/365 is 181536.

LCM(244/731, 2976/365) = 181536

LCM of 244/731, 2976/365

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 244/731,2976/365

Given numbers are 244/731,2976/365

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 244,2976

Least Common Multiple of Numerators i.e. LCM of 244,2976 is 181536.

GCF of Denominators means GCF of 731,365 as per the given fractions.

GCF of 731,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 244,2976

LCM of Fractions 244/731,2976/365 is 181536

2 244, 2976
2 122, 1488
61, 744

∴ So the LCM of the given numbers is 2 x 2 x 61 x 744 = 181536

Least Common Multiple of 244,2976 with GCF Formula

Least Common Multiple of 244,2976 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 244,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,2976) = 4

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

GCF(244,2976) x common factors =4 x 1 = 4

LCM(244,2976) = ( 244 × 2976 ) / 4

LCM(244,2976) = 726144 / 4

LCM(244,2976) = 181536


Lets's calculate GCF of 731,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181536/1

Therefore the LCM of Fractions 244/731,2976/365 is 181536

Greatest Common Factor of 731,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,365 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 731,365 . The biggest common factor number is the GCF number.
So the greatest common factor 731,365 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 244/731, 2976/365

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 244/731, 2976/365?

Answer: LCM of Numerators as per given numbers 244/731, 2976/365 is

LCM of Numerators i.e. for 244,2976 is 181536

GCF of denominators i.e. for 731,365 is 1.

Thus, LCM of Fractions is 181536.Finally, LCM of Fractions for 244/731, 2976/365 is 181536.