Least Common Multiple of 75/40, 40/76, 21/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/40, 40/76, 21/487 quickly i.e. 4200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/40, 40/76, 21/487 is 4200.

LCM(75/40, 40/76, 21/487) = 4200

LCM of 75/40, 40/76, 21/487

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 75/40,40/76,21/487

Given numbers are 75/40,40/76,21/487

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 75,40,21

Least Common Multiple of Numerators i.e. LCM of 75,40,21 is 4200.

GCF of Denominators means GCF of 40,76,487 as per the given fractions.

GCF of 40,76,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,40,21

LCM of Fractions 75/40,40/76,21/487 is 4200

3 75, 40, 21
5 25, 40, 7
5, 8, 7

∴ So the LCM of the given numbers is 3 x 5 x 5 x 8 x 7 = 4200

Least Common Multiple of 75,40,21 with GCF Formula

Least Common Multiple of 75,40,21 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 75,40,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,40,21) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,40,21) x common factors =1 x 15 = 15

LCM(75,40,21) = ( 75 × 40 × 21 ) / 15

LCM(75,40,21) = 63000 / 15

LCM(75,40,21) = 4200


Lets's calculate GCF of 40,76,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200/1

Therefore the LCM of Fractions 75/40,40/76,21/487 is 4200

Greatest Common Factor of 40,76,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,76,487 By Matching Biggest Common Factor Method

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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 40,76,487 . The biggest common factor number is the GCF number.
So the greatest common factor 40,76,487 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 75/40, 40/76, 21/487

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 75/40, 40/76, 21/487?

Answer: LCM of Numerators as per given numbers 75/40, 40/76, 21/487 is

LCM of Numerators i.e. for 75,40,21 is 4200

GCF of denominators i.e. for 40,76,487 is 1.

Thus, LCM of Fractions is 4200.Finally, LCM of Fractions for 75/40, 40/76, 21/487 is 4200.