Least Common Multiple of 422/18, 436/2648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 422/18, 436/2648 quickly i.e. 45998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/18, 436/2648 is 45998.

LCM(422/18, 436/2648) = 45998

LCM of 422/18, 436/2648

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 422/18,436/2648

Given numbers are 422/18,436/2648

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 422,436

Least Common Multiple of Numerators i.e. LCM of 422,436 is 91996.

GCF of Denominators means GCF of 18,2648 as per the given fractions.

GCF of 18,2648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,436

LCM of Fractions 422/18,436/2648 is 45998

2 422, 436
211, 218

∴ So the LCM of the given numbers is 2 x 211 x 218 = 91996

Least Common Multiple of 422,436 with GCF Formula

Least Common Multiple of 422,436 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 422,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,436) = 2

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

GCF(422,436) x common factors =2 x 1 = 2

LCM(422,436) = ( 422 × 436 ) / 2

LCM(422,436) = 183992 / 2

LCM(422,436) = 91996


Lets's calculate GCF of 18,2648

2 18, 2648
9, 1324

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91996/2

Therefore the LCM of Fractions 422/18,436/2648 is 45998

Greatest Common Factor of 18,2648 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,2648 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1,2,4,8,331,662,1324,2648

Greatest Common Factor

We found the factors 18,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 18,2648 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 422/18, 436/2648

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 422/18, 436/2648?

Answer: LCM of Numerators as per given numbers 422/18, 436/2648 is

LCM of Numerators i.e. for 422,436 is 91996

GCF of denominators i.e. for 18,2648 is 2.

Thus, LCM of Fractions is 45998.Finally, LCM of Fractions for 422/18, 436/2648 is 45998.