Least Common Multiple of 41/422, 2642/3484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/422, 2642/3484 quickly i.e. 54161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/422, 2642/3484 is 54161.

LCM(41/422, 2642/3484) = 54161

LCM of 41/422, 2642/3484

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 41/422,2642/3484

Given numbers are 41/422,2642/3484

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 41,2642

Least Common Multiple of Numerators i.e. LCM of 41,2642 is 108322.

GCF of Denominators means GCF of 422,3484 as per the given fractions.

GCF of 422,3484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,2642

LCM of Fractions 41/422,2642/3484 is 54161

Given numbers has no common factors except 1. So, there LCM is their product i.e 108322

Least Common Multiple of 41,2642 with GCF Formula

Least Common Multiple of 41,2642 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 41,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,2642) = 1

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

GCF(41,2642) x common factors =1 x 1 = 1

LCM(41,2642) = ( 41 × 2642 ) / 1

LCM(41,2642) = 108322 / 1

LCM(41,2642) = 108322


Lets's calculate GCF of 422,3484

2 422, 3484
211, 1742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108322/2

Therefore the LCM of Fractions 41/422,2642/3484 is 54161

Greatest Common Factor of 422,3484 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,3484 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 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors 422,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 422,3484 is 2.


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 41/422, 2642/3484

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 41/422, 2642/3484?

Answer: LCM of Numerators as per given numbers 41/422, 2642/3484 is

LCM of Numerators i.e. for 41,2642 is 108322

GCF of denominators i.e. for 422,3484 is 2.

Thus, LCM of Fractions is 54161.Finally, LCM of Fractions for 41/422, 2642/3484 is 54161.