Least Common Multiple of 422/240, 2066/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/240, 2066/340 quickly i.e. 435926/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/240, 2066/340 is 435926/20.

LCM(422/240, 2066/340) = 435926/20

LCM of 422/240, 2066/340

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 422/240,2066/340

Given numbers are 422/240,2066/340

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 422,2066

Least Common Multiple of Numerators i.e. LCM of 422,2066 is 435926.

GCF of Denominators means GCF of 240,340 as per the given fractions.

GCF of 240,340 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,2066

LCM of Fractions 422/240,2066/340 is 435926/20

2 422, 2066
211, 1033

∴ So the LCM of the given numbers is 2 x 211 x 1033 = 435926

Least Common Multiple of 422,2066 with GCF Formula

Least Common Multiple of 422,2066 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 422,2066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,2066) = 2

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

GCF(422,2066) x common factors =2 x 1 = 2

LCM(422,2066) = ( 422 × 2066 ) / 2

LCM(422,2066) = 871852 / 2

LCM(422,2066) = 435926


Lets's calculate GCF of 240,340

2 240, 340
2 120, 170
5 60, 85
12, 17

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435926/20

Therefore the LCM of Fractions 422/240,2066/340 is 435926/20

Greatest Common Factor of 240,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,340 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 240,340 . The biggest common factor number is the GCF number.
So the greatest common factor 240,340 is 20.


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 422/240, 2066/340

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 422/240, 2066/340?

Answer: LCM of Numerators as per given numbers 422/240, 2066/340 is

LCM of Numerators i.e. for 422,2066 is 435926

GCF of denominators i.e. for 240,340 is 20.

Thus, LCM of Fractions is 435926/20.Finally, LCM of Fractions for 422/240, 2066/340 is 435926/20.