Least Common Multiple of 2154/422, 3306/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2154/422, 3306/563 quickly i.e. 1186854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2154/422, 3306/563 is 1186854.

LCM(2154/422, 3306/563) = 1186854

LCM of 2154/422, 3306/563

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 2154/422,3306/563

Given numbers are 2154/422,3306/563

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 2154,3306

Least Common Multiple of Numerators i.e. LCM of 2154,3306 is 1186854.

GCF of Denominators means GCF of 422,563 as per the given fractions.

GCF of 422,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2154,3306

LCM of Fractions 2154/422,3306/563 is 1186854

2 2154, 3306
3 1077, 1653
359, 551

∴ So the LCM of the given numbers is 2 x 3 x 359 x 551 = 1186854

Least Common Multiple of 2154,3306 with GCF Formula

Least Common Multiple of 2154,3306 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 2154,3306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2154,3306) = 6

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

GCF(2154,3306) x common factors =6 x 1 = 6

LCM(2154,3306) = ( 2154 × 3306 ) / 6

LCM(2154,3306) = 7121124 / 6

LCM(2154,3306) = 1186854


Lets's calculate GCF of 422,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1186854/1

Therefore the LCM of Fractions 2154/422,3306/563 is 1186854

Greatest Common Factor of 422,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,563 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

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 422,563 . The biggest common factor number is the GCF number.
So the greatest common factor 422,563 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 2154/422, 3306/563

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 2154/422, 3306/563?

Answer: LCM of Numerators as per given numbers 2154/422, 3306/563 is

LCM of Numerators i.e. for 2154,3306 is 1186854

GCF of denominators i.e. for 422,563 is 1.

Thus, LCM of Fractions is 1186854.Finally, LCM of Fractions for 2154/422, 3306/563 is 1186854.