Least Common Multiple of 3282/429, 9744/8136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3282/429, 9744/8136 quickly i.e. 1776656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3282/429, 9744/8136 is 1776656.

LCM(3282/429, 9744/8136) = 1776656

LCM of 3282/429, 9744/8136

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 3282/429,9744/8136

Given numbers are 3282/429,9744/8136

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 3282,9744

Least Common Multiple of Numerators i.e. LCM of 3282,9744 is 5329968.

GCF of Denominators means GCF of 429,8136 as per the given fractions.

GCF of 429,8136 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3282,9744

LCM of Fractions 3282/429,9744/8136 is 1776656

2 3282, 9744
3 1641, 4872
547, 1624

∴ So the LCM of the given numbers is 2 x 3 x 547 x 1624 = 5329968

Least Common Multiple of 3282,9744 with GCF Formula

Least Common Multiple of 3282,9744 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 3282,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3282,9744) = 6

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

GCF(3282,9744) x common factors =6 x 1 = 6

LCM(3282,9744) = ( 3282 × 9744 ) / 6

LCM(3282,9744) = 31979808 / 6

LCM(3282,9744) = 5329968


Lets's calculate GCF of 429,8136

3 429, 8136
143, 2712

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5329968/3

Therefore the LCM of Fractions 3282/429,9744/8136 is 1776656

Greatest Common Factor of 429,8136 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,8136 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 8136

List of positive integer factors of 8136 that divides 8136 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136

Greatest Common Factor

We found the factors 429,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 429,8136 is 3.


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 3282/429, 9744/8136

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 3282/429, 9744/8136?

Answer: LCM of Numerators as per given numbers 3282/429, 9744/8136 is

LCM of Numerators i.e. for 3282,9744 is 5329968

GCF of denominators i.e. for 429,8136 is 3.

Thus, LCM of Fractions is 1776656.Finally, LCM of Fractions for 3282/429, 9744/8136 is 1776656.