Least Common Multiple of 77/25, 687/24, 108/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/25, 687/24, 108/477 quickly i.e. 1904364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/25, 687/24, 108/477 is 1904364.

LCM(77/25, 687/24, 108/477) = 1904364

LCM of 77/25, 687/24, 108/477

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 77/25,687/24,108/477

Given numbers are 77/25,687/24,108/477

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 77,687,108

Least Common Multiple of Numerators i.e. LCM of 77,687,108 is 1904364.

GCF of Denominators means GCF of 25,24,477 as per the given fractions.

GCF of 25,24,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,687,108

LCM of Fractions 77/25,687/24,108/477 is 1904364

3 77, 687, 108
77, 229, 36

∴ So the LCM of the given numbers is 3 x 77 x 229 x 36 = 1904364

Least Common Multiple of 77,687,108 with GCF Formula

Least Common Multiple of 77,687,108 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 77,687,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,687,108) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,687,108) x common factors =1 x 3 = 3

LCM(77,687,108) = ( 77 × 687 × 108 ) / 3

LCM(77,687,108) = 5713092 / 3

LCM(77,687,108) = 1904364


Lets's calculate GCF of 25,24,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1904364/1

Therefore the LCM of Fractions 77/25,687/24,108/477 is 1904364

Greatest Common Factor of 25,24,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,24,477 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 25,24,477 . The biggest common factor number is the GCF number.
So the greatest common factor 25,24,477 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 77/25, 687/24, 108/477

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 77/25, 687/24, 108/477?

Answer: LCM of Numerators as per given numbers 77/25, 687/24, 108/477 is

LCM of Numerators i.e. for 77,687,108 is 1904364

GCF of denominators i.e. for 25,24,477 is 1.

Thus, LCM of Fractions is 1904364.Finally, LCM of Fractions for 77/25, 687/24, 108/477 is 1904364.