Least Common Multiple of 401/54, 615/41, 790/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/54, 615/41, 790/242 quickly i.e. 38965170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/54, 615/41, 790/242 is 38965170.

LCM(401/54, 615/41, 790/242) = 38965170

LCM of 401/54, 615/41, 790/242

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 401/54,615/41,790/242

Given numbers are 401/54,615/41,790/242

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 401,615,790

Least Common Multiple of Numerators i.e. LCM of 401,615,790 is 38965170.

GCF of Denominators means GCF of 54,41,242 as per the given fractions.

GCF of 54,41,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,615,790

LCM of Fractions 401/54,615/41,790/242 is 38965170

5 401, 615, 790
401, 123, 158

∴ So the LCM of the given numbers is 5 x 401 x 123 x 158 = 38965170

Least Common Multiple of 401,615,790 with GCF Formula

Least Common Multiple of 401,615,790 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 401,615,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,615,790) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(401,615,790) x common factors =1 x 5 = 5

LCM(401,615,790) = ( 401 × 615 × 790 ) / 5

LCM(401,615,790) = 194825850 / 5

LCM(401,615,790) = 38965170


Lets's calculate GCF of 54,41,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38965170/1

Therefore the LCM of Fractions 401/54,615/41,790/242 is 38965170

Greatest Common Factor of 54,41,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,41,242 By Matching Biggest Common Factor Method

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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 54,41,242 . The biggest common factor number is the GCF number.
So the greatest common factor 54,41,242 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 401/54, 615/41, 790/242

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 401/54, 615/41, 790/242?

Answer: LCM of Numerators as per given numbers 401/54, 615/41, 790/242 is

LCM of Numerators i.e. for 401,615,790 is 38965170

GCF of denominators i.e. for 54,41,242 is 1.

Thus, LCM of Fractions is 38965170.Finally, LCM of Fractions for 401/54, 615/41, 790/242 is 38965170.