Least Common Multiple of 20/42, 68/66, 26/52, 19/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/42, 68/66, 26/52, 19/595 quickly i.e. 83980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/42, 68/66, 26/52, 19/595 is 83980.

LCM(20/42, 68/66, 26/52, 19/595) = 83980

LCM of 20/42, 68/66, 26/52, 19/595

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 20/42,68/66,26/52,19/595

Given numbers are 20/42,68/66,26/52,19/595

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 20,68,26,19

Least Common Multiple of Numerators i.e. LCM of 20,68,26,19 is 83980.

GCF of Denominators means GCF of 42,66,52,595 as per the given fractions.

GCF of 42,66,52,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,68,26,19

LCM of Fractions 20/42,68/66,26/52,19/595 is 83980

2 20, 68, 26, 19
2 10, 34, 13, 19
5, 17, 13, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 13 x 19 = 83980

Least Common Multiple of 20,68,26,19 with GCF Formula

Least Common Multiple of 20,68,26,19 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 20,68,26,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,68,26,19) = 1

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

GCF(20,68,26,19) x common factors =1 x 8 = 8

LCM(20,68,26,19) = ( 20 × 68 × 26 × 19 ) / 8

LCM(20,68,26,19) = 671840 / 8

LCM(20,68,26,19) = 83980


Lets's calculate GCF of 42,66,52,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83980/1

Therefore the LCM of Fractions 20/42,68/66,26/52,19/595 is 83980

Greatest Common Factor of 42,66,52,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,66,52,595 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 52

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

1,2,4,13,26,52

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 42,66,52,595 . The biggest common factor number is the GCF number.
So the greatest common factor 42,66,52,595 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 20/42, 68/66, 26/52, 19/595

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 20/42, 68/66, 26/52, 19/595?

Answer: LCM of Numerators as per given numbers 20/42, 68/66, 26/52, 19/595 is

LCM of Numerators i.e. for 20,68,26,19 is 83980

GCF of denominators i.e. for 42,66,52,595 is 1.

Thus, LCM of Fractions is 83980.Finally, LCM of Fractions for 20/42, 68/66, 26/52, 19/595 is 83980.