Least Common Multiple of 53/115, 67/539, 954/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/115, 67/539, 954/204 quickly i.e. 63918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/115, 67/539, 954/204 is 63918.

LCM(53/115, 67/539, 954/204) = 63918

LCM of 53/115, 67/539, 954/204

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 53/115,67/539,954/204

Given numbers are 53/115,67/539,954/204

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 53,67,954

Least Common Multiple of Numerators i.e. LCM of 53,67,954 is 63918.

GCF of Denominators means GCF of 115,539,204 as per the given fractions.

GCF of 115,539,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,67,954

LCM of Fractions 53/115,67/539,954/204 is 63918

53 53, 67, 954
1, 67, 18

∴ So the LCM of the given numbers is 53 x 1 x 67 x 18 = 63918

Least Common Multiple of 53,67,954 with GCF Formula

Least Common Multiple of 53,67,954 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 53,67,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,67,954) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(53,67,954) x common factors =1 x 53 = 53

LCM(53,67,954) = ( 53 × 67 × 954 ) / 53

LCM(53,67,954) = 3387654 / 53

LCM(53,67,954) = 63918


Lets's calculate GCF of 115,539,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63918/1

Therefore the LCM of Fractions 53/115,67/539,954/204 is 63918

Greatest Common Factor of 115,539,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,539,204 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 115,539,204 . The biggest common factor number is the GCF number.
So the greatest common factor 115,539,204 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 53/115, 67/539, 954/204

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 53/115, 67/539, 954/204?

Answer: LCM of Numerators as per given numbers 53/115, 67/539, 954/204 is

LCM of Numerators i.e. for 53,67,954 is 63918

GCF of denominators i.e. for 115,539,204 is 1.

Thus, LCM of Fractions is 63918.Finally, LCM of Fractions for 53/115, 67/539, 954/204 is 63918.