Least Common Multiple of 7582/738, 6436/9946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7582/738, 6436/9946 quickly i.e. 12199438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7582/738, 6436/9946 is 12199438.

LCM(7582/738, 6436/9946) = 12199438

LCM of 7582/738, 6436/9946

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 7582/738,6436/9946

Given numbers are 7582/738,6436/9946

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 7582,6436

Least Common Multiple of Numerators i.e. LCM of 7582,6436 is 24398876.

GCF of Denominators means GCF of 738,9946 as per the given fractions.

GCF of 738,9946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7582,6436

LCM of Fractions 7582/738,6436/9946 is 12199438

2 7582, 6436
3791, 3218

∴ So the LCM of the given numbers is 2 x 3791 x 3218 = 24398876

Least Common Multiple of 7582,6436 with GCF Formula

Least Common Multiple of 7582,6436 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 7582,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7582,6436) = 2

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

GCF(7582,6436) x common factors =2 x 1 = 2

LCM(7582,6436) = ( 7582 × 6436 ) / 2

LCM(7582,6436) = 48797752 / 2

LCM(7582,6436) = 24398876


Lets's calculate GCF of 738,9946

2 738, 9946
369, 4973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24398876/2

Therefore the LCM of Fractions 7582/738,6436/9946 is 12199438

Greatest Common Factor of 738,9946 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,9946 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 9946

List of positive integer factors of 9946 that divides 9946 without a remainder.

1,2,4973,9946

Greatest Common Factor

We found the factors 738,9946 . The biggest common factor number is the GCF number.
So the greatest common factor 738,9946 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 7582/738, 6436/9946

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 7582/738, 6436/9946?

Answer: LCM of Numerators as per given numbers 7582/738, 6436/9946 is

LCM of Numerators i.e. for 7582,6436 is 24398876

GCF of denominators i.e. for 738,9946 is 2.

Thus, LCM of Fractions is 12199438.Finally, LCM of Fractions for 7582/738, 6436/9946 is 12199438.