Least Common Multiple of 3/18, 7/20, 24/59, 40/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/18, 7/20, 24/59, 40/128 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/18, 7/20, 24/59, 40/128 is 840.

LCM(3/18, 7/20, 24/59, 40/128) = 840

LCM of 3/18, 7/20, 24/59, 40/128

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 3/18,7/20,24/59,40/128

Given numbers are 3/18,7/20,24/59,40/128

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 3,7,24,40

Least Common Multiple of Numerators i.e. LCM of 3,7,24,40 is 840.

GCF of Denominators means GCF of 18,20,59,128 as per the given fractions.

GCF of 18,20,59,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,7,24,40

LCM of Fractions 3/18,7/20,24/59,40/128 is 840

2 3, 7, 24, 40
2 3, 7, 12, 20
2 3, 7, 6, 10
3 3, 7, 3, 5
1, 7, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 7 x 1 x 5 = 840

Least Common Multiple of 3,7,24,40 with GCF Formula

Least Common Multiple of 3,7,24,40 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 3,7,24,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,7,24,40) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(3,7,24,40) x common factors =1 x 24 = 24

LCM(3,7,24,40) = ( 3 × 7 × 24 × 40 ) / 24

LCM(3,7,24,40) = 20160 / 24

LCM(3,7,24,40) = 840


Lets's calculate GCF of 18,20,59,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/1

Therefore the LCM of Fractions 3/18,7/20,24/59,40/128 is 840

Greatest Common Factor of 18,20,59,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,20,59,128 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 20

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

1,2,4,5,10,20

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 18,20,59,128 . The biggest common factor number is the GCF number.
So the greatest common factor 18,20,59,128 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 3/18, 7/20, 24/59, 40/128

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 3/18, 7/20, 24/59, 40/128?

Answer: LCM of Numerators as per given numbers 3/18, 7/20, 24/59, 40/128 is

LCM of Numerators i.e. for 3,7,24,40 is 840

GCF of denominators i.e. for 18,20,59,128 is 1.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 3/18, 7/20, 24/59, 40/128 is 840.