Least Common Multiple of 249/503, 555/307, 216/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/503, 555/307, 216/597 quickly i.e. 3316680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/503, 555/307, 216/597 is 3316680.

LCM(249/503, 555/307, 216/597) = 3316680

LCM of 249/503, 555/307, 216/597

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 249/503,555/307,216/597

Given numbers are 249/503,555/307,216/597

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 249,555,216

Least Common Multiple of Numerators i.e. LCM of 249,555,216 is 3316680.

GCF of Denominators means GCF of 503,307,597 as per the given fractions.

GCF of 503,307,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,555,216

LCM of Fractions 249/503,555/307,216/597 is 3316680

3 249, 555, 216
83, 185, 72

∴ So the LCM of the given numbers is 3 x 83 x 185 x 72 = 3316680

Least Common Multiple of 249,555,216 with GCF Formula

Least Common Multiple of 249,555,216 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 249,555,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,555,216) = 3

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

GCF(249,555,216) x common factors =3 x 3 = 9

LCM(249,555,216) = ( 249 × 555 × 216 ) / 9

LCM(249,555,216) = 29850120 / 9

LCM(249,555,216) = 3316680


Lets's calculate GCF of 503,307,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3316680/1

Therefore the LCM of Fractions 249/503,555/307,216/597 is 3316680

Greatest Common Factor of 503,307,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,307,597 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 503,307,597 . The biggest common factor number is the GCF number.
So the greatest common factor 503,307,597 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 249/503, 555/307, 216/597

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 249/503, 555/307, 216/597?

Answer: LCM of Numerators as per given numbers 249/503, 555/307, 216/597 is

LCM of Numerators i.e. for 249,555,216 is 3316680

GCF of denominators i.e. for 503,307,597 is 1.

Thus, LCM of Fractions is 3316680.Finally, LCM of Fractions for 249/503, 555/307, 216/597 is 3316680.