Least Common Multiple of 636/864, 7687/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/864, 7687/438 quickly i.e. 814822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/864, 7687/438 is 814822.

LCM(636/864, 7687/438) = 814822

LCM of 636/864, 7687/438

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 636/864,7687/438

Given numbers are 636/864,7687/438

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 636,7687

Least Common Multiple of Numerators i.e. LCM of 636,7687 is 4888932.

GCF of Denominators means GCF of 864,438 as per the given fractions.

GCF of 864,438 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,7687

LCM of Fractions 636/864,7687/438 is 814822

Given numbers has no common factors except 1. So, there LCM is their product i.e 4888932

Least Common Multiple of 636,7687 with GCF Formula

Least Common Multiple of 636,7687 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 636,7687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,7687) = 1

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

GCF(636,7687) x common factors =1 x 1 = 1

LCM(636,7687) = ( 636 × 7687 ) / 1

LCM(636,7687) = 4888932 / 1

LCM(636,7687) = 4888932


Lets's calculate GCF of 864,438

2 864, 438
3 432, 219
144, 73

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4888932/6

Therefore the LCM of Fractions 636/864,7687/438 is 814822

Greatest Common Factor of 864,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,438 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 864,438 . The biggest common factor number is the GCF number.
So the greatest common factor 864,438 is 6.


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 636/864, 7687/438

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 636/864, 7687/438?

Answer: LCM of Numerators as per given numbers 636/864, 7687/438 is

LCM of Numerators i.e. for 636,7687 is 4888932

GCF of denominators i.e. for 864,438 is 6.

Thus, LCM of Fractions is 814822.Finally, LCM of Fractions for 636/864, 7687/438 is 814822.