Least Common Multiple of 306/592, 744/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/592, 744/644 quickly i.e. 9486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/592, 744/644 is 9486.

LCM(306/592, 744/644) = 9486

LCM of 306/592, 744/644

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 306/592,744/644

Given numbers are 306/592,744/644

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 306,744

Least Common Multiple of Numerators i.e. LCM of 306,744 is 37944.

GCF of Denominators means GCF of 592,644 as per the given fractions.

GCF of 592,644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,744

LCM of Fractions 306/592,744/644 is 9486

2 306, 744
3 153, 372
51, 124

∴ So the LCM of the given numbers is 2 x 3 x 51 x 124 = 37944

Least Common Multiple of 306,744 with GCF Formula

Least Common Multiple of 306,744 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 306,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,744) = 6

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

GCF(306,744) x common factors =6 x 1 = 6

LCM(306,744) = ( 306 × 744 ) / 6

LCM(306,744) = 227664 / 6

LCM(306,744) = 37944


Lets's calculate GCF of 592,644

2 592, 644
2 296, 322
148, 161

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37944/4

Therefore the LCM of Fractions 306/592,744/644 is 9486

Greatest Common Factor of 592,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,644 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 592,644 . The biggest common factor number is the GCF number.
So the greatest common factor 592,644 is 4.


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 306/592, 744/644

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 306/592, 744/644?

Answer: LCM of Numerators as per given numbers 306/592, 744/644 is

LCM of Numerators i.e. for 306,744 is 37944

GCF of denominators i.e. for 592,644 is 4.

Thus, LCM of Fractions is 9486.Finally, LCM of Fractions for 306/592, 744/644 is 9486.