Least Common Multiple of 422/40, 125/61, 654/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/40, 125/61, 654/270 quickly i.e. 17249250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/40, 125/61, 654/270 is 17249250.

LCM(422/40, 125/61, 654/270) = 17249250

LCM of 422/40, 125/61, 654/270

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 422/40,125/61,654/270

Given numbers are 422/40,125/61,654/270

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 422,125,654

Least Common Multiple of Numerators i.e. LCM of 422,125,654 is 17249250.

GCF of Denominators means GCF of 40,61,270 as per the given fractions.

GCF of 40,61,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,125,654

LCM of Fractions 422/40,125/61,654/270 is 17249250

2 422, 125, 654
211, 125, 327

∴ So the LCM of the given numbers is 2 x 211 x 125 x 327 = 17249250

Least Common Multiple of 422,125,654 with GCF Formula

Least Common Multiple of 422,125,654 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 422,125,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,125,654) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(422,125,654) x common factors =1 x 2 = 2

LCM(422,125,654) = ( 422 × 125 × 654 ) / 2

LCM(422,125,654) = 34498500 / 2

LCM(422,125,654) = 17249250


Lets's calculate GCF of 40,61,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17249250/1

Therefore the LCM of Fractions 422/40,125/61,654/270 is 17249250

Greatest Common Factor of 40,61,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,61,270 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 40,61,270 . The biggest common factor number is the GCF number.
So the greatest common factor 40,61,270 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 422/40, 125/61, 654/270

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 422/40, 125/61, 654/270?

Answer: LCM of Numerators as per given numbers 422/40, 125/61, 654/270 is

LCM of Numerators i.e. for 422,125,654 is 17249250

GCF of denominators i.e. for 40,61,270 is 1.

Thus, LCM of Fractions is 17249250.Finally, LCM of Fractions for 422/40, 125/61, 654/270 is 17249250.