Least Common Multiple of 135/21, 5414/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/21, 5414/563 quickly i.e. 730890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/21, 5414/563 is 730890.

LCM(135/21, 5414/563) = 730890

LCM of 135/21, 5414/563

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 135/21,5414/563

Given numbers are 135/21,5414/563

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 135,5414

Least Common Multiple of Numerators i.e. LCM of 135,5414 is 730890.

GCF of Denominators means GCF of 21,563 as per the given fractions.

GCF of 21,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,5414

LCM of Fractions 135/21,5414/563 is 730890

Given numbers has no common factors except 1. So, there LCM is their product i.e 730890

Least Common Multiple of 135,5414 with GCF Formula

Least Common Multiple of 135,5414 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 135,5414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,5414) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(135,5414) x common factors =1 x 1 = 1

LCM(135,5414) = ( 135 × 5414 ) / 1

LCM(135,5414) = 730890 / 1

LCM(135,5414) = 730890


Lets's calculate GCF of 21,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730890/1

Therefore the LCM of Fractions 135/21,5414/563 is 730890

Greatest Common Factor of 21,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,563 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 21,563 . The biggest common factor number is the GCF number.
So the greatest common factor 21,563 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 135/21, 5414/563

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 135/21, 5414/563?

Answer: LCM of Numerators as per given numbers 135/21, 5414/563 is

LCM of Numerators i.e. for 135,5414 is 730890

GCF of denominators i.e. for 21,563 is 1.

Thus, LCM of Fractions is 730890.Finally, LCM of Fractions for 135/21, 5414/563 is 730890.