Least Common Multiple of 41/301, 167/432, 748/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/301, 167/432, 748/378 quickly i.e. 5121556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/301, 167/432, 748/378 is 5121556.

LCM(41/301, 167/432, 748/378) = 5121556

LCM of 41/301, 167/432, 748/378

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 41/301,167/432,748/378

Given numbers are 41/301,167/432,748/378

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 41,167,748

Least Common Multiple of Numerators i.e. LCM of 41,167,748 is 5121556.

GCF of Denominators means GCF of 301,432,378 as per the given fractions.

GCF of 301,432,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,167,748

LCM of Fractions 41/301,167/432,748/378 is 5121556

Given numbers has no common factors except 1. So, there LCM is their product i.e 5121556

Least Common Multiple of 41,167,748 with GCF Formula

Least Common Multiple of 41,167,748 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 41,167,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,167,748) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,167,748) x common factors =1 x 1 = 1

LCM(41,167,748) = ( 41 × 167 × 748 ) / 1

LCM(41,167,748) = 5121556 / 1

LCM(41,167,748) = 5121556


Lets's calculate GCF of 301,432,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5121556/1

Therefore the LCM of Fractions 41/301,167/432,748/378 is 5121556

Greatest Common Factor of 301,432,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,432,378 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 301,432,378 . The biggest common factor number is the GCF number.
So the greatest common factor 301,432,378 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 41/301, 167/432, 748/378

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 41/301, 167/432, 748/378?

Answer: LCM of Numerators as per given numbers 41/301, 167/432, 748/378 is

LCM of Numerators i.e. for 41,167,748 is 5121556

GCF of denominators i.e. for 301,432,378 is 1.

Thus, LCM of Fractions is 5121556.Finally, LCM of Fractions for 41/301, 167/432, 748/378 is 5121556.