Least Common Multiple of 387/39, 593/85, 460/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/39, 593/85, 460/708 quickly i.e. 105565860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/39, 593/85, 460/708 is 105565860.

LCM(387/39, 593/85, 460/708) = 105565860

LCM of 387/39, 593/85, 460/708

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 387/39,593/85,460/708

Given numbers are 387/39,593/85,460/708

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 387,593,460

Least Common Multiple of Numerators i.e. LCM of 387,593,460 is 105565860.

GCF of Denominators means GCF of 39,85,708 as per the given fractions.

GCF of 39,85,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,593,460

LCM of Fractions 387/39,593/85,460/708 is 105565860

Given numbers has no common factors except 1. So, there LCM is their product i.e 105565860

Least Common Multiple of 387,593,460 with GCF Formula

Least Common Multiple of 387,593,460 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 387,593,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,593,460) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(387,593,460) x common factors =1 x 1 = 1

LCM(387,593,460) = ( 387 × 593 × 460 ) / 1

LCM(387,593,460) = 105565860 / 1

LCM(387,593,460) = 105565860


Lets's calculate GCF of 39,85,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105565860/1

Therefore the LCM of Fractions 387/39,593/85,460/708 is 105565860

Greatest Common Factor of 39,85,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,85,708 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 39,85,708 . The biggest common factor number is the GCF number.
So the greatest common factor 39,85,708 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 387/39, 593/85, 460/708

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 387/39, 593/85, 460/708?

Answer: LCM of Numerators as per given numbers 387/39, 593/85, 460/708 is

LCM of Numerators i.e. for 387,593,460 is 105565860

GCF of denominators i.e. for 39,85,708 is 1.

Thus, LCM of Fractions is 105565860.Finally, LCM of Fractions for 387/39, 593/85, 460/708 is 105565860.