Least Common Multiple of 54/852, 439/634, 105/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/852, 439/634, 105/363 quickly i.e. 829710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/852, 439/634, 105/363 is 829710.

LCM(54/852, 439/634, 105/363) = 829710

LCM of 54/852, 439/634, 105/363

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 54/852,439/634,105/363

Given numbers are 54/852,439/634,105/363

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 54,439,105

Least Common Multiple of Numerators i.e. LCM of 54,439,105 is 829710.

GCF of Denominators means GCF of 852,634,363 as per the given fractions.

GCF of 852,634,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,439,105

LCM of Fractions 54/852,439/634,105/363 is 829710

3 54, 439, 105
18, 439, 35

∴ So the LCM of the given numbers is 3 x 18 x 439 x 35 = 829710

Least Common Multiple of 54,439,105 with GCF Formula

Least Common Multiple of 54,439,105 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 54,439,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,439,105) = 1

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

GCF(54,439,105) x common factors =1 x 3 = 3

LCM(54,439,105) = ( 54 × 439 × 105 ) / 3

LCM(54,439,105) = 2489130 / 3

LCM(54,439,105) = 829710


Lets's calculate GCF of 852,634,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829710/1

Therefore the LCM of Fractions 54/852,439/634,105/363 is 829710

Greatest Common Factor of 852,634,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,634,363 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 852,634,363 . The biggest common factor number is the GCF number.
So the greatest common factor 852,634,363 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 54/852, 439/634, 105/363

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 54/852, 439/634, 105/363?

Answer: LCM of Numerators as per given numbers 54/852, 439/634, 105/363 is

LCM of Numerators i.e. for 54,439,105 is 829710

GCF of denominators i.e. for 852,634,363 is 1.

Thus, LCM of Fractions is 829710.Finally, LCM of Fractions for 54/852, 439/634, 105/363 is 829710.