Least Common Multiple of 40/564, 95/419, 209/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/564, 95/419, 209/555 quickly i.e. 8360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/564, 95/419, 209/555 is 8360.

LCM(40/564, 95/419, 209/555) = 8360

LCM of 40/564, 95/419, 209/555

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 40/564,95/419,209/555

Given numbers are 40/564,95/419,209/555

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 40,95,209

Least Common Multiple of Numerators i.e. LCM of 40,95,209 is 8360.

GCF of Denominators means GCF of 564,419,555 as per the given fractions.

GCF of 564,419,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,95,209

LCM of Fractions 40/564,95/419,209/555 is 8360

5 40, 95, 209
19 8, 19, 209
8, 1, 11

∴ So the LCM of the given numbers is 5 x 19 x 8 x 1 x 11 = 8360

Least Common Multiple of 40,95,209 with GCF Formula

Least Common Multiple of 40,95,209 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 40,95,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,95,209) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(40,95,209) x common factors =1 x 95 = 95

LCM(40,95,209) = ( 40 × 95 × 209 ) / 95

LCM(40,95,209) = 794200 / 95

LCM(40,95,209) = 8360


Lets's calculate GCF of 564,419,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8360/1

Therefore the LCM of Fractions 40/564,95/419,209/555 is 8360

Greatest Common Factor of 564,419,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,419,555 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 564,419,555 . The biggest common factor number is the GCF number.
So the greatest common factor 564,419,555 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 40/564, 95/419, 209/555

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 40/564, 95/419, 209/555?

Answer: LCM of Numerators as per given numbers 40/564, 95/419, 209/555 is

LCM of Numerators i.e. for 40,95,209 is 8360

GCF of denominators i.e. for 564,419,555 is 1.

Thus, LCM of Fractions is 8360.Finally, LCM of Fractions for 40/564, 95/419, 209/555 is 8360.