Least Common Multiple of 21/74, 43/72, 90/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/74, 43/72, 90/948 quickly i.e. 13545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/74, 43/72, 90/948 is 13545.

LCM(21/74, 43/72, 90/948) = 13545

LCM of 21/74, 43/72, 90/948

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 21/74,43/72,90/948

Given numbers are 21/74,43/72,90/948

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 21,43,90

Least Common Multiple of Numerators i.e. LCM of 21,43,90 is 27090.

GCF of Denominators means GCF of 74,72,948 as per the given fractions.

GCF of 74,72,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,43,90

LCM of Fractions 21/74,43/72,90/948 is 13545

3 21, 43, 90
7, 43, 30

∴ So the LCM of the given numbers is 3 x 7 x 43 x 30 = 27090

Least Common Multiple of 21,43,90 with GCF Formula

Least Common Multiple of 21,43,90 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 21,43,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,43,90) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,43,90) x common factors =1 x 3 = 3

LCM(21,43,90) = ( 21 × 43 × 90 ) / 3

LCM(21,43,90) = 81270 / 3

LCM(21,43,90) = 27090


Lets's calculate GCF of 74,72,948

2 74, 72, 948
37, 36, 474

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27090/2

Therefore the LCM of Fractions 21/74,43/72,90/948 is 13545

Greatest Common Factor of 74,72,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,72,948 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

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 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 74,72,948 . The biggest common factor number is the GCF number.
So the greatest common factor 74,72,948 is 2.


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 21/74, 43/72, 90/948

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 21/74, 43/72, 90/948?

Answer: LCM of Numerators as per given numbers 21/74, 43/72, 90/948 is

LCM of Numerators i.e. for 21,43,90 is 27090

GCF of denominators i.e. for 74,72,948 is 2.

Thus, LCM of Fractions is 13545.Finally, LCM of Fractions for 21/74, 43/72, 90/948 is 13545.