Least Common Multiple of 351/543, 227/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 351/543, 227/872 quickly i.e. 79677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/543, 227/872 is 79677.

LCM(351/543, 227/872) = 79677

LCM of 351/543, 227/872

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 351/543,227/872

Given numbers are 351/543,227/872

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 351,227

Least Common Multiple of Numerators i.e. LCM of 351,227 is 79677.

GCF of Denominators means GCF of 543,872 as per the given fractions.

GCF of 543,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,227

LCM of Fractions 351/543,227/872 is 79677

Given numbers has no common factors except 1. So, there LCM is their product i.e 79677

Least Common Multiple of 351,227 with GCF Formula

Least Common Multiple of 351,227 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 351,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,227) = 1

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

GCF(351,227) x common factors =1 x 1 = 1

LCM(351,227) = ( 351 × 227 ) / 1

LCM(351,227) = 79677 / 1

LCM(351,227) = 79677


Lets's calculate GCF of 543,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79677/1

Therefore the LCM of Fractions 351/543,227/872 is 79677

Greatest Common Factor of 543,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,872 By Matching Biggest Common Factor Method

Factors of 543

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

1,3,181,543

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 543,872 . The biggest common factor number is the GCF number.
So the greatest common factor 543,872 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 351/543, 227/872

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 351/543, 227/872?

Answer: LCM of Numerators as per given numbers 351/543, 227/872 is

LCM of Numerators i.e. for 351,227 is 79677

GCF of denominators i.e. for 543,872 is 1.

Thus, LCM of Fractions is 79677.Finally, LCM of Fractions for 351/543, 227/872 is 79677.