Least Common Multiple of 41/351, 356/542, 871/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/351, 356/542, 871/543 quickly i.e. 12713116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/351, 356/542, 871/543 is 12713116.

LCM(41/351, 356/542, 871/543) = 12713116

LCM of 41/351, 356/542, 871/543

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 41/351,356/542,871/543

Given numbers are 41/351,356/542,871/543

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 41,356,871

Least Common Multiple of Numerators i.e. LCM of 41,356,871 is 12713116.

GCF of Denominators means GCF of 351,542,543 as per the given fractions.

GCF of 351,542,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,356,871

LCM of Fractions 41/351,356/542,871/543 is 12713116

Given numbers has no common factors except 1. So, there LCM is their product i.e 12713116

Least Common Multiple of 41,356,871 with GCF Formula

Least Common Multiple of 41,356,871 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 41,356,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,356,871) = 1

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

GCF(41,356,871) x common factors =1 x 1 = 1

LCM(41,356,871) = ( 41 × 356 × 871 ) / 1

LCM(41,356,871) = 12713116 / 1

LCM(41,356,871) = 12713116


Lets's calculate GCF of 351,542,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12713116/1

Therefore the LCM of Fractions 41/351,356/542,871/543 is 12713116

Greatest Common Factor of 351,542,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,542,543 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 351,542,543 . The biggest common factor number is the GCF number.
So the greatest common factor 351,542,543 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 41/351, 356/542, 871/543

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 41/351, 356/542, 871/543?

Answer: LCM of Numerators as per given numbers 41/351, 356/542, 871/543 is

LCM of Numerators i.e. for 41,356,871 is 12713116

GCF of denominators i.e. for 351,542,543 is 1.

Thus, LCM of Fractions is 12713116.Finally, LCM of Fractions for 41/351, 356/542, 871/543 is 12713116.