Least Common Multiple of 42/80, 59/68, 66/44, 28/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/80, 59/68, 66/44, 28/360 quickly i.e. 13629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/80, 59/68, 66/44, 28/360 is 13629.

LCM(42/80, 59/68, 66/44, 28/360) = 13629

LCM of 42/80, 59/68, 66/44, 28/360

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 42/80,59/68,66/44,28/360

Given numbers are 42/80,59/68,66/44,28/360

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 42,59,66,28

Least Common Multiple of Numerators i.e. LCM of 42,59,66,28 is 54516.

GCF of Denominators means GCF of 80,68,44,360 as per the given fractions.

GCF of 80,68,44,360 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,59,66,28

LCM of Fractions 42/80,59/68,66/44,28/360 is 13629

2 42, 59, 66, 28
3 21, 59, 33, 14
7 7, 59, 11, 14
1, 59, 11, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 59 x 11 x 2 = 54516

Least Common Multiple of 42,59,66,28 with GCF Formula

Least Common Multiple of 42,59,66,28 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 42,59,66,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,59,66,28) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(42,59,66,28) x common factors =1 x 84 = 84

LCM(42,59,66,28) = ( 42 × 59 × 66 × 28 ) / 84

LCM(42,59,66,28) = 4579344 / 84

LCM(42,59,66,28) = 54516


Lets's calculate GCF of 80,68,44,360

2 80, 68, 44, 360
2 40, 34, 22, 180
20, 17, 11, 90

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54516/4

Therefore the LCM of Fractions 42/80,59/68,66/44,28/360 is 13629

Greatest Common Factor of 80,68,44,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,68,44,360 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 80,68,44,360 . The biggest common factor number is the GCF number.
So the greatest common factor 80,68,44,360 is 4.


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 42/80, 59/68, 66/44, 28/360

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 42/80, 59/68, 66/44, 28/360?

Answer: LCM of Numerators as per given numbers 42/80, 59/68, 66/44, 28/360 is

LCM of Numerators i.e. for 42,59,66,28 is 54516

GCF of denominators i.e. for 80,68,44,360 is 4.

Thus, LCM of Fractions is 13629.Finally, LCM of Fractions for 42/80, 59/68, 66/44, 28/360 is 13629.