Least Common Multiple of 18/155, 968/431, 755/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/155, 968/431, 755/861 quickly i.e. 6577560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/155, 968/431, 755/861 is 6577560.

LCM(18/155, 968/431, 755/861) = 6577560

LCM of 18/155, 968/431, 755/861

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 18/155,968/431,755/861

Given numbers are 18/155,968/431,755/861

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 18,968,755

Least Common Multiple of Numerators i.e. LCM of 18,968,755 is 6577560.

GCF of Denominators means GCF of 155,431,861 as per the given fractions.

GCF of 155,431,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,968,755

LCM of Fractions 18/155,968/431,755/861 is 6577560

2 18, 968, 755
9, 484, 755

∴ So the LCM of the given numbers is 2 x 9 x 484 x 755 = 6577560

Least Common Multiple of 18,968,755 with GCF Formula

Least Common Multiple of 18,968,755 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 18,968,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,968,755) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,968,755) x common factors =1 x 2 = 2

LCM(18,968,755) = ( 18 × 968 × 755 ) / 2

LCM(18,968,755) = 13155120 / 2

LCM(18,968,755) = 6577560


Lets's calculate GCF of 155,431,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6577560/1

Therefore the LCM of Fractions 18/155,968/431,755/861 is 6577560

Greatest Common Factor of 155,431,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,431,861 By Matching Biggest Common Factor Method

Factors of 155

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

1,5,31,155

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 155,431,861 . The biggest common factor number is the GCF number.
So the greatest common factor 155,431,861 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 18/155, 968/431, 755/861

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 18/155, 968/431, 755/861?

Answer: LCM of Numerators as per given numbers 18/155, 968/431, 755/861 is

LCM of Numerators i.e. for 18,968,755 is 6577560

GCF of denominators i.e. for 155,431,861 is 1.

Thus, LCM of Fractions is 6577560.Finally, LCM of Fractions for 18/155, 968/431, 755/861 is 6577560.