Least Common Multiple of 387/393, 215/145, 168/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/393, 215/145, 168/877 quickly i.e. 108360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/393, 215/145, 168/877 is 108360.

LCM(387/393, 215/145, 168/877) = 108360

LCM of 387/393, 215/145, 168/877

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 387/393,215/145,168/877

Given numbers are 387/393,215/145,168/877

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 387,215,168

Least Common Multiple of Numerators i.e. LCM of 387,215,168 is 108360.

GCF of Denominators means GCF of 393,145,877 as per the given fractions.

GCF of 393,145,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,215,168

LCM of Fractions 387/393,215/145,168/877 is 108360

3 387, 215, 168
43 129, 215, 56
3, 5, 56

∴ So the LCM of the given numbers is 3 x 43 x 3 x 5 x 56 = 108360

Least Common Multiple of 387,215,168 with GCF Formula

Least Common Multiple of 387,215,168 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 387,215,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,215,168) = 1

common factors(in case of two or more numbers have common factors) = 129

GCF(387,215,168) x common factors =1 x 129 = 129

LCM(387,215,168) = ( 387 × 215 × 168 ) / 129

LCM(387,215,168) = 13978440 / 129

LCM(387,215,168) = 108360


Lets's calculate GCF of 393,145,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108360/1

Therefore the LCM of Fractions 387/393,215/145,168/877 is 108360

Greatest Common Factor of 393,145,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,145,877 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 393,145,877 . The biggest common factor number is the GCF number.
So the greatest common factor 393,145,877 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 387/393, 215/145, 168/877

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 387/393, 215/145, 168/877?

Answer: LCM of Numerators as per given numbers 387/393, 215/145, 168/877 is

LCM of Numerators i.e. for 387,215,168 is 108360

GCF of denominators i.e. for 393,145,877 is 1.

Thus, LCM of Fractions is 108360.Finally, LCM of Fractions for 387/393, 215/145, 168/877 is 108360.