Least Common Multiple of 53/82, 318/54, 135/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/82, 318/54, 135/517 quickly i.e. 14310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/82, 318/54, 135/517 is 14310.

LCM(53/82, 318/54, 135/517) = 14310

LCM of 53/82, 318/54, 135/517

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 53/82,318/54,135/517

Given numbers are 53/82,318/54,135/517

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 53,318,135

Least Common Multiple of Numerators i.e. LCM of 53,318,135 is 14310.

GCF of Denominators means GCF of 82,54,517 as per the given fractions.

GCF of 82,54,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,318,135

LCM of Fractions 53/82,318/54,135/517 is 14310

3 53, 318, 135
53 53, 106, 45
1, 2, 45

∴ So the LCM of the given numbers is 3 x 53 x 1 x 2 x 45 = 14310

Least Common Multiple of 53,318,135 with GCF Formula

Least Common Multiple of 53,318,135 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 53,318,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,318,135) = 1

common factors(in case of two or more numbers have common factors) = 159

GCF(53,318,135) x common factors =1 x 159 = 159

LCM(53,318,135) = ( 53 × 318 × 135 ) / 159

LCM(53,318,135) = 2275290 / 159

LCM(53,318,135) = 14310


Lets's calculate GCF of 82,54,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14310/1

Therefore the LCM of Fractions 53/82,318/54,135/517 is 14310

Greatest Common Factor of 82,54,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,54,517 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 82,54,517 . The biggest common factor number is the GCF number.
So the greatest common factor 82,54,517 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 53/82, 318/54, 135/517

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 53/82, 318/54, 135/517?

Answer: LCM of Numerators as per given numbers 53/82, 318/54, 135/517 is

LCM of Numerators i.e. for 53,318,135 is 14310

GCF of denominators i.e. for 82,54,517 is 1.

Thus, LCM of Fractions is 14310.Finally, LCM of Fractions for 53/82, 318/54, 135/517 is 14310.