Least Common Multiple of 825/391, 731/815, 677/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/391, 731/815, 677/728 quickly i.e. 408281775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/391, 731/815, 677/728 is 408281775.

LCM(825/391, 731/815, 677/728) = 408281775

LCM of 825/391, 731/815, 677/728

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 825/391,731/815,677/728

Given numbers are 825/391,731/815,677/728

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 825,731,677

Least Common Multiple of Numerators i.e. LCM of 825,731,677 is 408281775.

GCF of Denominators means GCF of 391,815,728 as per the given fractions.

GCF of 391,815,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,731,677

LCM of Fractions 825/391,731/815,677/728 is 408281775

Given numbers has no common factors except 1. So, there LCM is their product i.e 408281775

Least Common Multiple of 825,731,677 with GCF Formula

Least Common Multiple of 825,731,677 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 825,731,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,731,677) = 1

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

GCF(825,731,677) x common factors =1 x 1 = 1

LCM(825,731,677) = ( 825 × 731 × 677 ) / 1

LCM(825,731,677) = 408281775 / 1

LCM(825,731,677) = 408281775


Lets's calculate GCF of 391,815,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408281775/1

Therefore the LCM of Fractions 825/391,731/815,677/728 is 408281775

Greatest Common Factor of 391,815,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,815,728 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 391,815,728 . The biggest common factor number is the GCF number.
So the greatest common factor 391,815,728 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 825/391, 731/815, 677/728

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 825/391, 731/815, 677/728?

Answer: LCM of Numerators as per given numbers 825/391, 731/815, 677/728 is

LCM of Numerators i.e. for 825,731,677 is 408281775

GCF of denominators i.e. for 391,815,728 is 1.

Thus, LCM of Fractions is 408281775.Finally, LCM of Fractions for 825/391, 731/815, 677/728 is 408281775.