Least Common Multiple of 80/54, 40/49, 90/13, 25/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/54, 40/49, 90/13, 25/678 quickly i.e. 3600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/54, 40/49, 90/13, 25/678 is 3600.

LCM(80/54, 40/49, 90/13, 25/678) = 3600

LCM of 80/54, 40/49, 90/13, 25/678

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 80/54,40/49,90/13,25/678

Given numbers are 80/54,40/49,90/13,25/678

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 80,40,90,25

Least Common Multiple of Numerators i.e. LCM of 80,40,90,25 is 3600.

GCF of Denominators means GCF of 54,49,13,678 as per the given fractions.

GCF of 54,49,13,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,40,90,25

LCM of Fractions 80/54,40/49,90/13,25/678 is 3600

2 80, 40, 90, 25
2 40, 20, 45, 25
2 10, 20, 45, 25
5 5, 10, 45, 25
1, 2, 9, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 2 x 9 x 5 = 3600

Least Common Multiple of 80,40,90,25 with GCF Formula

Least Common Multiple of 80,40,90,25 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 80,40,90,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,40,90,25) = 5

common factors(in case of two or more numbers have common factors) = 400

GCF(80,40,90,25) x common factors =5 x 400 = 2000

LCM(80,40,90,25) = ( 80 × 40 × 90 × 25 ) / 2000

LCM(80,40,90,25) = 7200000 / 2000

LCM(80,40,90,25) = 3600


Lets's calculate GCF of 54,49,13,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3600/1

Therefore the LCM of Fractions 80/54,40/49,90/13,25/678 is 3600

Greatest Common Factor of 54,49,13,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,49,13,678 By Matching Biggest Common Factor Method

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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 13

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

1,13

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 54,49,13,678 . The biggest common factor number is the GCF number.
So the greatest common factor 54,49,13,678 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 80/54, 40/49, 90/13, 25/678

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 80/54, 40/49, 90/13, 25/678?

Answer: LCM of Numerators as per given numbers 80/54, 40/49, 90/13, 25/678 is

LCM of Numerators i.e. for 80,40,90,25 is 3600

GCF of denominators i.e. for 54,49,13,678 is 1.

Thus, LCM of Fractions is 3600.Finally, LCM of Fractions for 80/54, 40/49, 90/13, 25/678 is 3600.