Least Common Multiple of 79/40, 533/87, 658/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/40, 533/87, 658/115 quickly i.e. 27706406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/40, 533/87, 658/115 is 27706406.

LCM(79/40, 533/87, 658/115) = 27706406

LCM of 79/40, 533/87, 658/115

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 79/40,533/87,658/115

Given numbers are 79/40,533/87,658/115

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 79,533,658

Least Common Multiple of Numerators i.e. LCM of 79,533,658 is 27706406.

GCF of Denominators means GCF of 40,87,115 as per the given fractions.

GCF of 40,87,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,533,658

LCM of Fractions 79/40,533/87,658/115 is 27706406

Given numbers has no common factors except 1. So, there LCM is their product i.e 27706406

Least Common Multiple of 79,533,658 with GCF Formula

Least Common Multiple of 79,533,658 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 79,533,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,533,658) = 1

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

GCF(79,533,658) x common factors =1 x 1 = 1

LCM(79,533,658) = ( 79 × 533 × 658 ) / 1

LCM(79,533,658) = 27706406 / 1

LCM(79,533,658) = 27706406


Lets's calculate GCF of 40,87,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27706406/1

Therefore the LCM of Fractions 79/40,533/87,658/115 is 27706406

Greatest Common Factor of 40,87,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,87,115 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 40,87,115 . The biggest common factor number is the GCF number.
So the greatest common factor 40,87,115 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 79/40, 533/87, 658/115

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 79/40, 533/87, 658/115?

Answer: LCM of Numerators as per given numbers 79/40, 533/87, 658/115 is

LCM of Numerators i.e. for 79,533,658 is 27706406

GCF of denominators i.e. for 40,87,115 is 1.

Thus, LCM of Fractions is 27706406.Finally, LCM of Fractions for 79/40, 533/87, 658/115 is 27706406.