Least Common Multiple of 75/14, 31/54, 408/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/14, 31/54, 408/541 quickly i.e. 316200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/14, 31/54, 408/541 is 316200.

LCM(75/14, 31/54, 408/541) = 316200

LCM of 75/14, 31/54, 408/541

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 75/14,31/54,408/541

Given numbers are 75/14,31/54,408/541

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 75,31,408

Least Common Multiple of Numerators i.e. LCM of 75,31,408 is 316200.

GCF of Denominators means GCF of 14,54,541 as per the given fractions.

GCF of 14,54,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,31,408

LCM of Fractions 75/14,31/54,408/541 is 316200

3 75, 31, 408
25, 31, 136

∴ So the LCM of the given numbers is 3 x 25 x 31 x 136 = 316200

Least Common Multiple of 75,31,408 with GCF Formula

Least Common Multiple of 75,31,408 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 75,31,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,31,408) = 1

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

GCF(75,31,408) x common factors =1 x 3 = 3

LCM(75,31,408) = ( 75 × 31 × 408 ) / 3

LCM(75,31,408) = 948600 / 3

LCM(75,31,408) = 316200


Lets's calculate GCF of 14,54,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316200/1

Therefore the LCM of Fractions 75/14,31/54,408/541 is 316200

Greatest Common Factor of 14,54,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,54,541 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 14,54,541 . The biggest common factor number is the GCF number.
So the greatest common factor 14,54,541 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 75/14, 31/54, 408/541

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 75/14, 31/54, 408/541?

Answer: LCM of Numerators as per given numbers 75/14, 31/54, 408/541 is

LCM of Numerators i.e. for 75,31,408 is 316200

GCF of denominators i.e. for 14,54,541 is 1.

Thus, LCM of Fractions is 316200.Finally, LCM of Fractions for 75/14, 31/54, 408/541 is 316200.