Least Common Multiple of 40/678, 854/155, 180/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/678, 854/155, 180/118 quickly i.e. 153720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/678, 854/155, 180/118 is 153720.

LCM(40/678, 854/155, 180/118) = 153720

LCM of 40/678, 854/155, 180/118

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 40/678,854/155,180/118

Given numbers are 40/678,854/155,180/118

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 40,854,180

Least Common Multiple of Numerators i.e. LCM of 40,854,180 is 153720.

GCF of Denominators means GCF of 678,155,118 as per the given fractions.

GCF of 678,155,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,854,180

LCM of Fractions 40/678,854/155,180/118 is 153720

2 40, 854, 180
2 20, 427, 90
5 10, 427, 45
2, 427, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 427 x 9 = 153720

Least Common Multiple of 40,854,180 with GCF Formula

Least Common Multiple of 40,854,180 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 40,854,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,854,180) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(40,854,180) x common factors =2 x 20 = 40

LCM(40,854,180) = ( 40 × 854 × 180 ) / 40

LCM(40,854,180) = 6148800 / 40

LCM(40,854,180) = 153720


Lets's calculate GCF of 678,155,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153720/1

Therefore the LCM of Fractions 40/678,854/155,180/118 is 153720

Greatest Common Factor of 678,155,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,155,118 By Matching Biggest Common Factor Method

Factors of 678

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

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

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 678,155,118 . The biggest common factor number is the GCF number.
So the greatest common factor 678,155,118 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 40/678, 854/155, 180/118

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 40/678, 854/155, 180/118?

Answer: LCM of Numerators as per given numbers 40/678, 854/155, 180/118 is

LCM of Numerators i.e. for 40,854,180 is 153720

GCF of denominators i.e. for 678,155,118 is 1.

Thus, LCM of Fractions is 153720.Finally, LCM of Fractions for 40/678, 854/155, 180/118 is 153720.