Least Common Multiple of 52/409, 21/985, 405/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/409, 21/985, 405/218 quickly i.e. 147420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/409, 21/985, 405/218 is 147420.

LCM(52/409, 21/985, 405/218) = 147420

LCM of 52/409, 21/985, 405/218

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 52/409,21/985,405/218

Given numbers are 52/409,21/985,405/218

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 52,21,405

Least Common Multiple of Numerators i.e. LCM of 52,21,405 is 147420.

GCF of Denominators means GCF of 409,985,218 as per the given fractions.

GCF of 409,985,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,21,405

LCM of Fractions 52/409,21/985,405/218 is 147420

3 52, 21, 405
52, 7, 135

∴ So the LCM of the given numbers is 3 x 52 x 7 x 135 = 147420

Least Common Multiple of 52,21,405 with GCF Formula

Least Common Multiple of 52,21,405 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 52,21,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,21,405) = 1

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

GCF(52,21,405) x common factors =1 x 3 = 3

LCM(52,21,405) = ( 52 × 21 × 405 ) / 3

LCM(52,21,405) = 442260 / 3

LCM(52,21,405) = 147420


Lets's calculate GCF of 409,985,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147420/1

Therefore the LCM of Fractions 52/409,21/985,405/218 is 147420

Greatest Common Factor of 409,985,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,985,218 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 409,985,218 . The biggest common factor number is the GCF number.
So the greatest common factor 409,985,218 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 52/409, 21/985, 405/218

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 52/409, 21/985, 405/218?

Answer: LCM of Numerators as per given numbers 52/409, 21/985, 405/218 is

LCM of Numerators i.e. for 52,21,405 is 147420

GCF of denominators i.e. for 409,985,218 is 1.

Thus, LCM of Fractions is 147420.Finally, LCM of Fractions for 52/409, 21/985, 405/218 is 147420.