Least Common Multiple of 84/363, 54/638, 415/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/363, 54/638, 415/117 quickly i.e. 313740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/363, 54/638, 415/117 is 313740.

LCM(84/363, 54/638, 415/117) = 313740

LCM of 84/363, 54/638, 415/117

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 84/363,54/638,415/117

Given numbers are 84/363,54/638,415/117

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 84,54,415

Least Common Multiple of Numerators i.e. LCM of 84,54,415 is 313740.

GCF of Denominators means GCF of 363,638,117 as per the given fractions.

GCF of 363,638,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,54,415

LCM of Fractions 84/363,54/638,415/117 is 313740

2 84, 54, 415
3 42, 27, 415
14, 9, 415

∴ So the LCM of the given numbers is 2 x 3 x 14 x 9 x 415 = 313740

Least Common Multiple of 84,54,415 with GCF Formula

Least Common Multiple of 84,54,415 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 84,54,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,54,415) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,54,415) x common factors =1 x 6 = 6

LCM(84,54,415) = ( 84 × 54 × 415 ) / 6

LCM(84,54,415) = 1882440 / 6

LCM(84,54,415) = 313740


Lets's calculate GCF of 363,638,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313740/1

Therefore the LCM of Fractions 84/363,54/638,415/117 is 313740

Greatest Common Factor of 363,638,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,638,117 By Matching Biggest Common Factor Method

Factors of 363

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

1,3,11,33,121,363

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 363,638,117 . The biggest common factor number is the GCF number.
So the greatest common factor 363,638,117 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 84/363, 54/638, 415/117

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 84/363, 54/638, 415/117?

Answer: LCM of Numerators as per given numbers 84/363, 54/638, 415/117 is

LCM of Numerators i.e. for 84,54,415 is 313740

GCF of denominators i.e. for 363,638,117 is 1.

Thus, LCM of Fractions is 313740.Finally, LCM of Fractions for 84/363, 54/638, 415/117 is 313740.