Least Common Multiple of 3/513, 85/409, 24/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/513, 85/409, 24/315 quickly i.e. 2040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/513, 85/409, 24/315 is 2040.

LCM(3/513, 85/409, 24/315) = 2040

LCM of 3/513, 85/409, 24/315

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 3/513,85/409,24/315

Given numbers are 3/513,85/409,24/315

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 3,85,24

Least Common Multiple of Numerators i.e. LCM of 3,85,24 is 2040.

GCF of Denominators means GCF of 513,409,315 as per the given fractions.

GCF of 513,409,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,85,24

LCM of Fractions 3/513,85/409,24/315 is 2040

3 3, 85, 24
1, 85, 8

∴ So the LCM of the given numbers is 3 x 1 x 85 x 8 = 2040

Least Common Multiple of 3,85,24 with GCF Formula

Least Common Multiple of 3,85,24 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 3,85,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,85,24) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,85,24) x common factors =1 x 3 = 3

LCM(3,85,24) = ( 3 × 85 × 24 ) / 3

LCM(3,85,24) = 6120 / 3

LCM(3,85,24) = 2040


Lets's calculate GCF of 513,409,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2040/1

Therefore the LCM of Fractions 3/513,85/409,24/315 is 2040

Greatest Common Factor of 513,409,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,409,315 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 513,409,315 . The biggest common factor number is the GCF number.
So the greatest common factor 513,409,315 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 3/513, 85/409, 24/315

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 3/513, 85/409, 24/315?

Answer: LCM of Numerators as per given numbers 3/513, 85/409, 24/315 is

LCM of Numerators i.e. for 3,85,24 is 2040

GCF of denominators i.e. for 513,409,315 is 1.

Thus, LCM of Fractions is 2040.Finally, LCM of Fractions for 3/513, 85/409, 24/315 is 2040.