Least Common Multiple of 8/80, 5/42, 22/61, 54/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/80, 5/42, 22/61, 54/870 quickly i.e. 11880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/80, 5/42, 22/61, 54/870 is 11880.

LCM(8/80, 5/42, 22/61, 54/870) = 11880

LCM of 8/80, 5/42, 22/61, 54/870

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 8/80,5/42,22/61,54/870

Given numbers are 8/80,5/42,22/61,54/870

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 8,5,22,54

Least Common Multiple of Numerators i.e. LCM of 8,5,22,54 is 11880.

GCF of Denominators means GCF of 80,42,61,870 as per the given fractions.

GCF of 80,42,61,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,5,22,54

LCM of Fractions 8/80,5/42,22/61,54/870 is 11880

2 8, 5, 22, 54
4, 5, 11, 27

∴ So the LCM of the given numbers is 2 x 4 x 5 x 11 x 27 = 11880

Least Common Multiple of 8,5,22,54 with GCF Formula

Least Common Multiple of 8,5,22,54 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 8,5,22,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,5,22,54) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,5,22,54) x common factors =1 x 4 = 4

LCM(8,5,22,54) = ( 8 × 5 × 22 × 54 ) / 4

LCM(8,5,22,54) = 47520 / 4

LCM(8,5,22,54) = 11880


Lets's calculate GCF of 80,42,61,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11880/1

Therefore the LCM of Fractions 8/80,5/42,22/61,54/870 is 11880

Greatest Common Factor of 80,42,61,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,42,61,870 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 42

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

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

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 80,42,61,870 . The biggest common factor number is the GCF number.
So the greatest common factor 80,42,61,870 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 8/80, 5/42, 22/61, 54/870

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 8/80, 5/42, 22/61, 54/870?

Answer: LCM of Numerators as per given numbers 8/80, 5/42, 22/61, 54/870 is

LCM of Numerators i.e. for 8,5,22,54 is 11880

GCF of denominators i.e. for 80,42,61,870 is 1.

Thus, LCM of Fractions is 11880.Finally, LCM of Fractions for 8/80, 5/42, 22/61, 54/870 is 11880.