Least Common Multiple of 21/43, 34/40, 732/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/43, 34/40, 732/761 quickly i.e. 87108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/43, 34/40, 732/761 is 87108.

LCM(21/43, 34/40, 732/761) = 87108

LCM of 21/43, 34/40, 732/761

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 21/43,34/40,732/761

Given numbers are 21/43,34/40,732/761

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 21,34,732

Least Common Multiple of Numerators i.e. LCM of 21,34,732 is 87108.

GCF of Denominators means GCF of 43,40,761 as per the given fractions.

GCF of 43,40,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,34,732

LCM of Fractions 21/43,34/40,732/761 is 87108

2 21, 34, 732
3 21, 17, 366
7, 17, 122

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 122 = 87108

Least Common Multiple of 21,34,732 with GCF Formula

Least Common Multiple of 21,34,732 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 21,34,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,34,732) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(21,34,732) x common factors =1 x 6 = 6

LCM(21,34,732) = ( 21 × 34 × 732 ) / 6

LCM(21,34,732) = 522648 / 6

LCM(21,34,732) = 87108


Lets's calculate GCF of 43,40,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87108/1

Therefore the LCM of Fractions 21/43,34/40,732/761 is 87108

Greatest Common Factor of 43,40,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,40,761 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 43,40,761 . The biggest common factor number is the GCF number.
So the greatest common factor 43,40,761 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 21/43, 34/40, 732/761

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 21/43, 34/40, 732/761?

Answer: LCM of Numerators as per given numbers 21/43, 34/40, 732/761 is

LCM of Numerators i.e. for 21,34,732 is 87108

GCF of denominators i.e. for 43,40,761 is 1.

Thus, LCM of Fractions is 87108.Finally, LCM of Fractions for 21/43, 34/40, 732/761 is 87108.