Least Common Multiple of 80/70, 13/54, 60/68, 90/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/70, 13/54, 60/68, 90/878 quickly i.e. 4680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/70, 13/54, 60/68, 90/878 is 4680.

LCM(80/70, 13/54, 60/68, 90/878) = 4680

LCM of 80/70, 13/54, 60/68, 90/878

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 80/70,13/54,60/68,90/878

Given numbers are 80/70,13/54,60/68,90/878

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 80,13,60,90

Least Common Multiple of Numerators i.e. LCM of 80,13,60,90 is 9360.

GCF of Denominators means GCF of 70,54,68,878 as per the given fractions.

GCF of 70,54,68,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,13,60,90

LCM of Fractions 80/70,13/54,60/68,90/878 is 4680

2 80, 13, 60, 90
2 40, 13, 30, 45
3 20, 13, 15, 45
5 20, 13, 5, 15
4, 13, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 13 x 1 x 3 = 9360

Least Common Multiple of 80,13,60,90 with GCF Formula

Least Common Multiple of 80,13,60,90 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 80,13,60,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,13,60,90) = 1

common factors(in case of two or more numbers have common factors) = 600

GCF(80,13,60,90) x common factors =1 x 600 = 600

LCM(80,13,60,90) = ( 80 × 13 × 60 × 90 ) / 600

LCM(80,13,60,90) = 5616000 / 600

LCM(80,13,60,90) = 9360


Lets's calculate GCF of 70,54,68,878

2 70, 54, 68, 878
35, 27, 34, 439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/2

Therefore the LCM of Fractions 80/70,13/54,60/68,90/878 is 4680

Greatest Common Factor of 70,54,68,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,54,68,878 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 68

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

1,2,4,17,34,68

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 70,54,68,878 . The biggest common factor number is the GCF number.
So the greatest common factor 70,54,68,878 is 2.


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 80/70, 13/54, 60/68, 90/878

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 80/70, 13/54, 60/68, 90/878?

Answer: LCM of Numerators as per given numbers 80/70, 13/54, 60/68, 90/878 is

LCM of Numerators i.e. for 80,13,60,90 is 9360

GCF of denominators i.e. for 70,54,68,878 is 2.

Thus, LCM of Fractions is 4680.Finally, LCM of Fractions for 80/70, 13/54, 60/68, 90/878 is 4680.