Least Common Multiple of 7412/638, 6030/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7412/638, 6030/362 quickly i.e. 11173590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7412/638, 6030/362 is 11173590.

LCM(7412/638, 6030/362) = 11173590

LCM of 7412/638, 6030/362

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 7412/638,6030/362

Given numbers are 7412/638,6030/362

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 7412,6030

Least Common Multiple of Numerators i.e. LCM of 7412,6030 is 22347180.

GCF of Denominators means GCF of 638,362 as per the given fractions.

GCF of 638,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7412,6030

LCM of Fractions 7412/638,6030/362 is 11173590

2 7412, 6030
3706, 3015

∴ So the LCM of the given numbers is 2 x 3706 x 3015 = 22347180

Least Common Multiple of 7412,6030 with GCF Formula

Least Common Multiple of 7412,6030 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 7412,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7412,6030) = 2

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

GCF(7412,6030) x common factors =2 x 1 = 2

LCM(7412,6030) = ( 7412 × 6030 ) / 2

LCM(7412,6030) = 44694360 / 2

LCM(7412,6030) = 22347180


Lets's calculate GCF of 638,362

2 638, 362
319, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22347180/2

Therefore the LCM of Fractions 7412/638,6030/362 is 11173590

Greatest Common Factor of 638,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,362 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 638,362 . The biggest common factor number is the GCF number.
So the greatest common factor 638,362 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 7412/638, 6030/362

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 7412/638, 6030/362?

Answer: LCM of Numerators as per given numbers 7412/638, 6030/362 is

LCM of Numerators i.e. for 7412,6030 is 22347180

GCF of denominators i.e. for 638,362 is 2.

Thus, LCM of Fractions is 11173590.Finally, LCM of Fractions for 7412/638, 6030/362 is 11173590.