Least Common Multiple of 12/72, 90/37, 99/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/72, 90/37, 99/749 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/72, 90/37, 99/749 is 1980.

LCM(12/72, 90/37, 99/749) = 1980

LCM of 12/72, 90/37, 99/749

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 12/72,90/37,99/749

Given numbers are 12/72,90/37,99/749

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 12,90,99

Least Common Multiple of Numerators i.e. LCM of 12,90,99 is 1980.

GCF of Denominators means GCF of 72,37,749 as per the given fractions.

GCF of 72,37,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,90,99

LCM of Fractions 12/72,90/37,99/749 is 1980

2 12, 90, 99
3 6, 45, 99
3 2, 15, 33
2, 5, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 5 x 11 = 1980

Least Common Multiple of 12,90,99 with GCF Formula

Least Common Multiple of 12,90,99 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 12,90,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,90,99) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(12,90,99) x common factors =3 x 18 = 54

LCM(12,90,99) = ( 12 × 90 × 99 ) / 54

LCM(12,90,99) = 106920 / 54

LCM(12,90,99) = 1980


Lets's calculate GCF of 72,37,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980/1

Therefore the LCM of Fractions 12/72,90/37,99/749 is 1980

Greatest Common Factor of 72,37,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,37,749 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 72,37,749 . The biggest common factor number is the GCF number.
So the greatest common factor 72,37,749 is 1.


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 12/72, 90/37, 99/749

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 12/72, 90/37, 99/749?

Answer: LCM of Numerators as per given numbers 12/72, 90/37, 99/749 is

LCM of Numerators i.e. for 12,90,99 is 1980

GCF of denominators i.e. for 72,37,749 is 1.

Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 12/72, 90/37, 99/749 is 1980.