Least Common Multiple of 854/383, 539/283, 732/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/383, 539/283, 732/615 quickly i.e. 394548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/383, 539/283, 732/615 is 394548.

LCM(854/383, 539/283, 732/615) = 394548

LCM of 854/383, 539/283, 732/615

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 854/383,539/283,732/615

Given numbers are 854/383,539/283,732/615

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 854,539,732

Least Common Multiple of Numerators i.e. LCM of 854,539,732 is 394548.

GCF of Denominators means GCF of 383,283,615 as per the given fractions.

GCF of 383,283,615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,539,732

LCM of Fractions 854/383,539/283,732/615 is 394548

2 854, 539, 732
7 427, 539, 366
61 61, 77, 366
1, 77, 6

∴ So the LCM of the given numbers is 2 x 7 x 61 x 1 x 77 x 6 = 394548

Least Common Multiple of 854,539,732 with GCF Formula

Least Common Multiple of 854,539,732 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 854,539,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,539,732) = 1

common factors(in case of two or more numbers have common factors) = 854

GCF(854,539,732) x common factors =1 x 854 = 854

LCM(854,539,732) = ( 854 × 539 × 732 ) / 854

LCM(854,539,732) = 336943992 / 854

LCM(854,539,732) = 394548


Lets's calculate GCF of 383,283,615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394548/1

Therefore the LCM of Fractions 854/383,539/283,732/615 is 394548

Greatest Common Factor of 383,283,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,283,615 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 383,283,615 . The biggest common factor number is the GCF number.
So the greatest common factor 383,283,615 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 854/383, 539/283, 732/615

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 854/383, 539/283, 732/615?

Answer: LCM of Numerators as per given numbers 854/383, 539/283, 732/615 is

LCM of Numerators i.e. for 854,539,732 is 394548

GCF of denominators i.e. for 383,283,615 is 1.

Thus, LCM of Fractions is 394548.Finally, LCM of Fractions for 854/383, 539/283, 732/615 is 394548.