Least Common Multiple of 5/415, 38/187, 22/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/415, 38/187, 22/564 quickly i.e. 2090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/415, 38/187, 22/564 is 2090.

LCM(5/415, 38/187, 22/564) = 2090

LCM of 5/415, 38/187, 22/564

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 5/415,38/187,22/564

Given numbers are 5/415,38/187,22/564

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 5,38,22

Least Common Multiple of Numerators i.e. LCM of 5,38,22 is 2090.

GCF of Denominators means GCF of 415,187,564 as per the given fractions.

GCF of 415,187,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,38,22

LCM of Fractions 5/415,38/187,22/564 is 2090

2 5, 38, 22
5, 19, 11

∴ So the LCM of the given numbers is 2 x 5 x 19 x 11 = 2090

Least Common Multiple of 5,38,22 with GCF Formula

Least Common Multiple of 5,38,22 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 5,38,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,38,22) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(5,38,22) x common factors =1 x 2 = 2

LCM(5,38,22) = ( 5 × 38 × 22 ) / 2

LCM(5,38,22) = 4180 / 2

LCM(5,38,22) = 2090


Lets's calculate GCF of 415,187,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2090/1

Therefore the LCM of Fractions 5/415,38/187,22/564 is 2090

Greatest Common Factor of 415,187,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,187,564 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

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

Greatest Common Factor

We found the factors 415,187,564 . The biggest common factor number is the GCF number.
So the greatest common factor 415,187,564 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 5/415, 38/187, 22/564

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 5/415, 38/187, 22/564?

Answer: LCM of Numerators as per given numbers 5/415, 38/187, 22/564 is

LCM of Numerators i.e. for 5,38,22 is 2090

GCF of denominators i.e. for 415,187,564 is 1.

Thus, LCM of Fractions is 2090.Finally, LCM of Fractions for 5/415, 38/187, 22/564 is 2090.