Least Common Multiple of 88/542, 40/916, 181/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/542, 40/916, 181/216 quickly i.e. 39820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/542, 40/916, 181/216 is 39820.

LCM(88/542, 40/916, 181/216) = 39820

LCM of 88/542, 40/916, 181/216

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 88/542,40/916,181/216

Given numbers are 88/542,40/916,181/216

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 88,40,181

Least Common Multiple of Numerators i.e. LCM of 88,40,181 is 79640.

GCF of Denominators means GCF of 542,916,216 as per the given fractions.

GCF of 542,916,216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,40,181

LCM of Fractions 88/542,40/916,181/216 is 39820

2 88, 40, 181
2 44, 20, 181
2 22, 10, 181
11, 5, 181

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 181 = 79640

Least Common Multiple of 88,40,181 with GCF Formula

Least Common Multiple of 88,40,181 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 88,40,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,40,181) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(88,40,181) x common factors =1 x 8 = 8

LCM(88,40,181) = ( 88 × 40 × 181 ) / 8

LCM(88,40,181) = 637120 / 8

LCM(88,40,181) = 79640


Lets's calculate GCF of 542,916,216

2 542, 916, 216
271, 458, 108

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79640/2

Therefore the LCM of Fractions 88/542,40/916,181/216 is 39820

Greatest Common Factor of 542,916,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,916,216 By Matching Biggest Common Factor Method

Factors of 542

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

1,2,271,542

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

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

Greatest Common Factor

We found the factors 542,916,216 . The biggest common factor number is the GCF number.
So the greatest common factor 542,916,216 is 2.


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 88/542, 40/916, 181/216

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 88/542, 40/916, 181/216?

Answer: LCM of Numerators as per given numbers 88/542, 40/916, 181/216 is

LCM of Numerators i.e. for 88,40,181 is 79640

GCF of denominators i.e. for 542,916,216 is 2.

Thus, LCM of Fractions is 39820.Finally, LCM of Fractions for 88/542, 40/916, 181/216 is 39820.