Least Common Multiple of 78/141, 107/543, 539/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/141, 107/543, 539/648 quickly i.e. 1499498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/141, 107/543, 539/648 is 1499498.

LCM(78/141, 107/543, 539/648) = 1499498

LCM of 78/141, 107/543, 539/648

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 78/141,107/543,539/648

Given numbers are 78/141,107/543,539/648

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 78,107,539

Least Common Multiple of Numerators i.e. LCM of 78,107,539 is 4498494.

GCF of Denominators means GCF of 141,543,648 as per the given fractions.

GCF of 141,543,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,107,539

LCM of Fractions 78/141,107/543,539/648 is 1499498

Given numbers has no common factors except 1. So, there LCM is their product i.e 4498494

Least Common Multiple of 78,107,539 with GCF Formula

Least Common Multiple of 78,107,539 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 78,107,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,107,539) = 1

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

GCF(78,107,539) x common factors =1 x 1 = 1

LCM(78,107,539) = ( 78 × 107 × 539 ) / 1

LCM(78,107,539) = 4498494 / 1

LCM(78,107,539) = 4498494


Lets's calculate GCF of 141,543,648

3 141, 543, 648
47, 181, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4498494/3

Therefore the LCM of Fractions 78/141,107/543,539/648 is 1499498

Greatest Common Factor of 141,543,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,543,648 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 543

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

1,3,181,543

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 141,543,648 . The biggest common factor number is the GCF number.
So the greatest common factor 141,543,648 is 3.


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 78/141, 107/543, 539/648

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 78/141, 107/543, 539/648?

Answer: LCM of Numerators as per given numbers 78/141, 107/543, 539/648 is

LCM of Numerators i.e. for 78,107,539 is 4498494

GCF of denominators i.e. for 141,543,648 is 3.

Thus, LCM of Fractions is 1499498.Finally, LCM of Fractions for 78/141, 107/543, 539/648 is 1499498.