Least Common Multiple of 72/73, 90/637, 975/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/73, 90/637, 975/512 quickly i.e. 23400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/73, 90/637, 975/512 is 23400.

LCM(72/73, 90/637, 975/512) = 23400

LCM of 72/73, 90/637, 975/512

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 72/73,90/637,975/512

Given numbers are 72/73,90/637,975/512

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 72,90,975

Least Common Multiple of Numerators i.e. LCM of 72,90,975 is 23400.

GCF of Denominators means GCF of 73,637,512 as per the given fractions.

GCF of 73,637,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,90,975

LCM of Fractions 72/73,90/637,975/512 is 23400

2 72, 90, 975
3 36, 45, 975
3 12, 15, 325
5 4, 5, 325
4, 1, 65

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 1 x 65 = 23400

Least Common Multiple of 72,90,975 with GCF Formula

Least Common Multiple of 72,90,975 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 72,90,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,90,975) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(72,90,975) x common factors =3 x 90 = 270

LCM(72,90,975) = ( 72 × 90 × 975 ) / 270

LCM(72,90,975) = 6318000 / 270

LCM(72,90,975) = 23400


Lets's calculate GCF of 73,637,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23400/1

Therefore the LCM of Fractions 72/73,90/637,975/512 is 23400

Greatest Common Factor of 73,637,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,637,512 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 73,637,512 . The biggest common factor number is the GCF number.
So the greatest common factor 73,637,512 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/73, 90/637, 975/512

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 72/73, 90/637, 975/512?

Answer: LCM of Numerators as per given numbers 72/73, 90/637, 975/512 is

LCM of Numerators i.e. for 72,90,975 is 23400

GCF of denominators i.e. for 73,637,512 is 1.

Thus, LCM of Fractions is 23400.Finally, LCM of Fractions for 72/73, 90/637, 975/512 is 23400.