Least Common Multiple of 216/650, 247/588, 461/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/650, 247/588, 461/760 quickly i.e. 12297636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/650, 247/588, 461/760 is 12297636.

LCM(216/650, 247/588, 461/760) = 12297636

LCM of 216/650, 247/588, 461/760

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 216/650,247/588,461/760

Given numbers are 216/650,247/588,461/760

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 216,247,461

Least Common Multiple of Numerators i.e. LCM of 216,247,461 is 24595272.

GCF of Denominators means GCF of 650,588,760 as per the given fractions.

GCF of 650,588,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,247,461

LCM of Fractions 216/650,247/588,461/760 is 12297636

Given numbers has no common factors except 1. So, there LCM is their product i.e 24595272

Least Common Multiple of 216,247,461 with GCF Formula

Least Common Multiple of 216,247,461 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 216,247,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,247,461) = 1

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

GCF(216,247,461) x common factors =1 x 1 = 1

LCM(216,247,461) = ( 216 × 247 × 461 ) / 1

LCM(216,247,461) = 24595272 / 1

LCM(216,247,461) = 24595272


Lets's calculate GCF of 650,588,760

2 650, 588, 760
325, 294, 380

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24595272/2

Therefore the LCM of Fractions 216/650,247/588,461/760 is 12297636

Greatest Common Factor of 650,588,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,588,760 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 650,588,760 . The biggest common factor number is the GCF number.
So the greatest common factor 650,588,760 is 2.


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 216/650, 247/588, 461/760

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 216/650, 247/588, 461/760?

Answer: LCM of Numerators as per given numbers 216/650, 247/588, 461/760 is

LCM of Numerators i.e. for 216,247,461 is 24595272

GCF of denominators i.e. for 650,588,760 is 2.

Thus, LCM of Fractions is 12297636.Finally, LCM of Fractions for 216/650, 247/588, 461/760 is 12297636.