Least Common Multiple of 422/46, 472/3560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/46, 472/3560 quickly i.e. 49796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/46, 472/3560 is 49796.

LCM(422/46, 472/3560) = 49796

LCM of 422/46, 472/3560

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 422/46,472/3560

Given numbers are 422/46,472/3560

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 422,472

Least Common Multiple of Numerators i.e. LCM of 422,472 is 99592.

GCF of Denominators means GCF of 46,3560 as per the given fractions.

GCF of 46,3560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,472

LCM of Fractions 422/46,472/3560 is 49796

2 422, 472
211, 236

∴ So the LCM of the given numbers is 2 x 211 x 236 = 99592

Least Common Multiple of 422,472 with GCF Formula

Least Common Multiple of 422,472 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 422,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,472) = 2

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

GCF(422,472) x common factors =2 x 1 = 2

LCM(422,472) = ( 422 × 472 ) / 2

LCM(422,472) = 199184 / 2

LCM(422,472) = 99592


Lets's calculate GCF of 46,3560

2 46, 3560
23, 1780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99592/2

Therefore the LCM of Fractions 422/46,472/3560 is 49796

Greatest Common Factor of 46,3560 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3560 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Greatest Common Factor

We found the factors 46,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3560 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 422/46, 472/3560

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 422/46, 472/3560?

Answer: LCM of Numerators as per given numbers 422/46, 472/3560 is

LCM of Numerators i.e. for 422,472 is 99592

GCF of denominators i.e. for 46,3560 is 2.

Thus, LCM of Fractions is 49796.Finally, LCM of Fractions for 422/46, 472/3560 is 49796.