Least Common Multiple of 13/457, 387/390, 793/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/457, 387/390, 793/125 quickly i.e. 306891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/457, 387/390, 793/125 is 306891.

LCM(13/457, 387/390, 793/125) = 306891

LCM of 13/457, 387/390, 793/125

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 13/457,387/390,793/125

Given numbers are 13/457,387/390,793/125

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 13,387,793

Least Common Multiple of Numerators i.e. LCM of 13,387,793 is 306891.

GCF of Denominators means GCF of 457,390,125 as per the given fractions.

GCF of 457,390,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,387,793

LCM of Fractions 13/457,387/390,793/125 is 306891

13 13, 387, 793
1, 387, 61

∴ So the LCM of the given numbers is 13 x 1 x 387 x 61 = 306891

Least Common Multiple of 13,387,793 with GCF Formula

Least Common Multiple of 13,387,793 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 13,387,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,387,793) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,387,793) x common factors =1 x 13 = 13

LCM(13,387,793) = ( 13 × 387 × 793 ) / 13

LCM(13,387,793) = 3989583 / 13

LCM(13,387,793) = 306891


Lets's calculate GCF of 457,390,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306891/1

Therefore the LCM of Fractions 13/457,387/390,793/125 is 306891

Greatest Common Factor of 457,390,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,390,125 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 457,390,125 . The biggest common factor number is the GCF number.
So the greatest common factor 457,390,125 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 13/457, 387/390, 793/125

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 13/457, 387/390, 793/125?

Answer: LCM of Numerators as per given numbers 13/457, 387/390, 793/125 is

LCM of Numerators i.e. for 13,387,793 is 306891

GCF of denominators i.e. for 457,390,125 is 1.

Thus, LCM of Fractions is 306891.Finally, LCM of Fractions for 13/457, 387/390, 793/125 is 306891.