Least Common Multiple of 592/357, 3636/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/357, 3636/387 quickly i.e. 179376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/357, 3636/387 is 179376.

LCM(592/357, 3636/387) = 179376

LCM of 592/357, 3636/387

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 592/357,3636/387

Given numbers are 592/357,3636/387

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 592,3636

Least Common Multiple of Numerators i.e. LCM of 592,3636 is 538128.

GCF of Denominators means GCF of 357,387 as per the given fractions.

GCF of 357,387 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,3636

LCM of Fractions 592/357,3636/387 is 179376

2 592, 3636
2 296, 1818
148, 909

∴ So the LCM of the given numbers is 2 x 2 x 148 x 909 = 538128

Least Common Multiple of 592,3636 with GCF Formula

Least Common Multiple of 592,3636 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 592,3636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,3636) = 4

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

GCF(592,3636) x common factors =4 x 1 = 4

LCM(592,3636) = ( 592 × 3636 ) / 4

LCM(592,3636) = 2152512 / 4

LCM(592,3636) = 538128


Lets's calculate GCF of 357,387

3 357, 387
119, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 538128/3

Therefore the LCM of Fractions 592/357,3636/387 is 179376

Greatest Common Factor of 357,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,387 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 357,387 . The biggest common factor number is the GCF number.
So the greatest common factor 357,387 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 592/357, 3636/387

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 592/357, 3636/387?

Answer: LCM of Numerators as per given numbers 592/357, 3636/387 is

LCM of Numerators i.e. for 592,3636 is 538128

GCF of denominators i.e. for 357,387 is 3.

Thus, LCM of Fractions is 179376.Finally, LCM of Fractions for 592/357, 3636/387 is 179376.