Least Common Multiple of 636/719, 718/843, 366/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 636/719, 718/843, 366/500 quickly i.e. 13927764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/719, 718/843, 366/500 is 13927764.

LCM(636/719, 718/843, 366/500) = 13927764

LCM of 636/719, 718/843, 366/500

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 636/719,718/843,366/500

Given numbers are 636/719,718/843,366/500

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 636,718,366

Least Common Multiple of Numerators i.e. LCM of 636,718,366 is 13927764.

GCF of Denominators means GCF of 719,843,500 as per the given fractions.

GCF of 719,843,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,718,366

LCM of Fractions 636/719,718/843,366/500 is 13927764

2 636, 718, 366
3 318, 359, 183
106, 359, 61

∴ So the LCM of the given numbers is 2 x 3 x 106 x 359 x 61 = 13927764

Least Common Multiple of 636,718,366 with GCF Formula

Least Common Multiple of 636,718,366 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 636,718,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,718,366) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(636,718,366) x common factors =2 x 6 = 12

LCM(636,718,366) = ( 636 × 718 × 366 ) / 12

LCM(636,718,366) = 167133168 / 12

LCM(636,718,366) = 13927764


Lets's calculate GCF of 719,843,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13927764/1

Therefore the LCM of Fractions 636/719,718/843,366/500 is 13927764

Greatest Common Factor of 719,843,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,843,500 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 719,843,500 . The biggest common factor number is the GCF number.
So the greatest common factor 719,843,500 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 636/719, 718/843, 366/500

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 636/719, 718/843, 366/500?

Answer: LCM of Numerators as per given numbers 636/719, 718/843, 366/500 is

LCM of Numerators i.e. for 636,718,366 is 13927764

GCF of denominators i.e. for 719,843,500 is 1.

Thus, LCM of Fractions is 13927764.Finally, LCM of Fractions for 636/719, 718/843, 366/500 is 13927764.