Least Common Multiple of 744/436, 972/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/436, 972/763 quickly i.e. 60264/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/436, 972/763 is 60264/109.

LCM(744/436, 972/763) = 60264/109

LCM of 744/436, 972/763

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 744/436,972/763

Given numbers are 744/436,972/763

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 744,972

Least Common Multiple of Numerators i.e. LCM of 744,972 is 60264.

GCF of Denominators means GCF of 436,763 as per the given fractions.

GCF of 436,763 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,972

LCM of Fractions 744/436,972/763 is 60264/109

2 744, 972
2 372, 486
3 186, 243
62, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 81 = 60264

Least Common Multiple of 744,972 with GCF Formula

Least Common Multiple of 744,972 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 744,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,972) = 12

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

GCF(744,972) x common factors =12 x 1 = 12

LCM(744,972) = ( 744 × 972 ) / 12

LCM(744,972) = 723168 / 12

LCM(744,972) = 60264


Lets's calculate GCF of 436,763

109 436, 763
4, 7

∴ So the GCF of the given numbers is 109 = 109

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60264/109

Therefore the LCM of Fractions 744/436,972/763 is 60264/109

Greatest Common Factor of 436,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,763 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 436,763 . The biggest common factor number is the GCF number.
So the greatest common factor 436,763 is 109.


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 744/436, 972/763

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 744/436, 972/763?

Answer: LCM of Numerators as per given numbers 744/436, 972/763 is

LCM of Numerators i.e. for 744,972 is 60264

GCF of denominators i.e. for 436,763 is 109.

Thus, LCM of Fractions is 60264/109.Finally, LCM of Fractions for 744/436, 972/763 is 60264/109.