Least Common Multiple of 20/40, 41/34, 52/52, 62/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/40, 41/34, 52/52, 62/268 quickly i.e. 165230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/40, 41/34, 52/52, 62/268 is 165230.

LCM(20/40, 41/34, 52/52, 62/268) = 165230

LCM of 20/40, 41/34, 52/52, 62/268

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 20/40,41/34,52/52,62/268

Given numbers are 20/40,41/34,52/52,62/268

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 20,41,52,62

Least Common Multiple of Numerators i.e. LCM of 20,41,52,62 is 330460.

GCF of Denominators means GCF of 40,34,52,268 as per the given fractions.

GCF of 40,34,52,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,41,52,62

LCM of Fractions 20/40,41/34,52/52,62/268 is 165230

2 20, 41, 52, 62
2 10, 41, 26, 31
5, 41, 13, 31

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 13 x 31 = 330460

Least Common Multiple of 20,41,52,62 with GCF Formula

Least Common Multiple of 20,41,52,62 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 20,41,52,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,41,52,62) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(20,41,52,62) x common factors =1 x 8 = 8

LCM(20,41,52,62) = ( 20 × 41 × 52 × 62 ) / 8

LCM(20,41,52,62) = 2643680 / 8

LCM(20,41,52,62) = 330460


Lets's calculate GCF of 40,34,52,268

2 40, 34, 52, 268
20, 17, 26, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330460/2

Therefore the LCM of Fractions 20/40,41/34,52/52,62/268 is 165230

Greatest Common Factor of 40,34,52,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,34,52,268 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 40,34,52,268 . The biggest common factor number is the GCF number.
So the greatest common factor 40,34,52,268 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 20/40, 41/34, 52/52, 62/268

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 20/40, 41/34, 52/52, 62/268?

Answer: LCM of Numerators as per given numbers 20/40, 41/34, 52/52, 62/268 is

LCM of Numerators i.e. for 20,41,52,62 is 330460

GCF of denominators i.e. for 40,34,52,268 is 2.

Thus, LCM of Fractions is 165230.Finally, LCM of Fractions for 20/40, 41/34, 52/52, 62/268 is 165230.