Least Common Multiple of 6307/684, 2443/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6307/684, 2443/576 quickly i.e. 2201143/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6307/684, 2443/576 is 2201143/36.

LCM(6307/684, 2443/576) = 2201143/36

LCM of 6307/684, 2443/576

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 6307/684,2443/576

Given numbers are 6307/684,2443/576

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 6307,2443

Least Common Multiple of Numerators i.e. LCM of 6307,2443 is 2201143.

GCF of Denominators means GCF of 684,576 as per the given fractions.

GCF of 684,576 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6307,2443

LCM of Fractions 6307/684,2443/576 is 2201143/36

7 6307, 2443
901, 349

∴ So the LCM of the given numbers is 7 x 901 x 349 = 2201143

Least Common Multiple of 6307,2443 with GCF Formula

Least Common Multiple of 6307,2443 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 6307,2443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6307,2443) = 7

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

GCF(6307,2443) x common factors =7 x 1 = 7

LCM(6307,2443) = ( 6307 × 2443 ) / 7

LCM(6307,2443) = 15408001 / 7

LCM(6307,2443) = 2201143


Lets's calculate GCF of 684,576

2 684, 576
2 342, 288
3 171, 144
3 57, 48
19, 16

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2201143/36

Therefore the LCM of Fractions 6307/684,2443/576 is 2201143/36

Greatest Common Factor of 684,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,576 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 684,576 . The biggest common factor number is the GCF number.
So the greatest common factor 684,576 is 36.


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 6307/684, 2443/576

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 6307/684, 2443/576?

Answer: LCM of Numerators as per given numbers 6307/684, 2443/576 is

LCM of Numerators i.e. for 6307,2443 is 2201143

GCF of denominators i.e. for 684,576 is 36.

Thus, LCM of Fractions is 2201143/36.Finally, LCM of Fractions for 6307/684, 2443/576 is 2201143/36.