Least Common Multiple of 42/20, 40/16, 83/13, 60/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/20, 40/16, 83/13, 60/559 quickly i.e. 69720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/20, 40/16, 83/13, 60/559 is 69720.

LCM(42/20, 40/16, 83/13, 60/559) = 69720

LCM of 42/20, 40/16, 83/13, 60/559

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 42/20,40/16,83/13,60/559

Given numbers are 42/20,40/16,83/13,60/559

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 42,40,83,60

Least Common Multiple of Numerators i.e. LCM of 42,40,83,60 is 69720.

GCF of Denominators means GCF of 20,16,13,559 as per the given fractions.

GCF of 20,16,13,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,40,83,60

LCM of Fractions 42/20,40/16,83/13,60/559 is 69720

2 42, 40, 83, 60
2 21, 20, 83, 30
3 21, 10, 83, 15
5 7, 10, 83, 5
7, 2, 83, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 2 x 83 x 1 = 69720

Least Common Multiple of 42,40,83,60 with GCF Formula

Least Common Multiple of 42,40,83,60 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 42,40,83,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,40,83,60) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(42,40,83,60) x common factors =1 x 120 = 120

LCM(42,40,83,60) = ( 42 × 40 × 83 × 60 ) / 120

LCM(42,40,83,60) = 8366400 / 120

LCM(42,40,83,60) = 69720


Lets's calculate GCF of 20,16,13,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69720/1

Therefore the LCM of Fractions 42/20,40/16,83/13,60/559 is 69720

Greatest Common Factor of 20,16,13,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,16,13,559 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 20,16,13,559 . The biggest common factor number is the GCF number.
So the greatest common factor 20,16,13,559 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 42/20, 40/16, 83/13, 60/559

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 42/20, 40/16, 83/13, 60/559?

Answer: LCM of Numerators as per given numbers 42/20, 40/16, 83/13, 60/559 is

LCM of Numerators i.e. for 42,40,83,60 is 69720

GCF of denominators i.e. for 20,16,13,559 is 1.

Thus, LCM of Fractions is 69720.Finally, LCM of Fractions for 42/20, 40/16, 83/13, 60/559 is 69720.