Least Common Multiple of 72/418, 40/405, 211/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/418, 40/405, 211/557 quickly i.e. 75960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/418, 40/405, 211/557 is 75960.

LCM(72/418, 40/405, 211/557) = 75960

LCM of 72/418, 40/405, 211/557

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 72/418,40/405,211/557

Given numbers are 72/418,40/405,211/557

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 72,40,211

Least Common Multiple of Numerators i.e. LCM of 72,40,211 is 75960.

GCF of Denominators means GCF of 418,405,557 as per the given fractions.

GCF of 418,405,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,40,211

LCM of Fractions 72/418,40/405,211/557 is 75960

2 72, 40, 211
2 36, 20, 211
2 18, 10, 211
9, 5, 211

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 5 x 211 = 75960

Least Common Multiple of 72,40,211 with GCF Formula

Least Common Multiple of 72,40,211 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 72,40,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,40,211) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,40,211) x common factors =1 x 8 = 8

LCM(72,40,211) = ( 72 × 40 × 211 ) / 8

LCM(72,40,211) = 607680 / 8

LCM(72,40,211) = 75960


Lets's calculate GCF of 418,405,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75960/1

Therefore the LCM of Fractions 72/418,40/405,211/557 is 75960

Greatest Common Factor of 418,405,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,405,557 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 418,405,557 . The biggest common factor number is the GCF number.
So the greatest common factor 418,405,557 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 72/418, 40/405, 211/557

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 72/418, 40/405, 211/557?

Answer: LCM of Numerators as per given numbers 72/418, 40/405, 211/557 is

LCM of Numerators i.e. for 72,40,211 is 75960

GCF of denominators i.e. for 418,405,557 is 1.

Thus, LCM of Fractions is 75960.Finally, LCM of Fractions for 72/418, 40/405, 211/557 is 75960.