Least Common Multiple of 15/513, 87/978, 733/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/513, 87/978, 733/250 quickly i.e. 318855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/513, 87/978, 733/250 is 318855.

LCM(15/513, 87/978, 733/250) = 318855

LCM of 15/513, 87/978, 733/250

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 15/513,87/978,733/250

Given numbers are 15/513,87/978,733/250

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 15,87,733

Least Common Multiple of Numerators i.e. LCM of 15,87,733 is 318855.

GCF of Denominators means GCF of 513,978,250 as per the given fractions.

GCF of 513,978,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,87,733

LCM of Fractions 15/513,87/978,733/250 is 318855

3 15, 87, 733
5, 29, 733

∴ So the LCM of the given numbers is 3 x 5 x 29 x 733 = 318855

Least Common Multiple of 15,87,733 with GCF Formula

Least Common Multiple of 15,87,733 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 15,87,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,87,733) = 1

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

GCF(15,87,733) x common factors =1 x 3 = 3

LCM(15,87,733) = ( 15 × 87 × 733 ) / 3

LCM(15,87,733) = 956565 / 3

LCM(15,87,733) = 318855


Lets's calculate GCF of 513,978,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318855/1

Therefore the LCM of Fractions 15/513,87/978,733/250 is 318855

Greatest Common Factor of 513,978,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,978,250 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 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 513,978,250 . The biggest common factor number is the GCF number.
So the greatest common factor 513,978,250 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 15/513, 87/978, 733/250

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 15/513, 87/978, 733/250?

Answer: LCM of Numerators as per given numbers 15/513, 87/978, 733/250 is

LCM of Numerators i.e. for 15,87,733 is 318855

GCF of denominators i.e. for 513,978,250 is 1.

Thus, LCM of Fractions is 318855.Finally, LCM of Fractions for 15/513, 87/978, 733/250 is 318855.