Least Common Multiple of 384/304, 8582/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/304, 8582/101 quickly i.e. 1647744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/304, 8582/101 is 1647744.

LCM(384/304, 8582/101) = 1647744

LCM of 384/304, 8582/101

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 384/304,8582/101

Given numbers are 384/304,8582/101

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 384,8582

Least Common Multiple of Numerators i.e. LCM of 384,8582 is 1647744.

GCF of Denominators means GCF of 304,101 as per the given fractions.

GCF of 304,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,8582

LCM of Fractions 384/304,8582/101 is 1647744

2 384, 8582
192, 4291

∴ So the LCM of the given numbers is 2 x 192 x 4291 = 1647744

Least Common Multiple of 384,8582 with GCF Formula

Least Common Multiple of 384,8582 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 384,8582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,8582) = 2

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

GCF(384,8582) x common factors =2 x 1 = 2

LCM(384,8582) = ( 384 × 8582 ) / 2

LCM(384,8582) = 3295488 / 2

LCM(384,8582) = 1647744


Lets's calculate GCF of 304,101

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1647744/1

Therefore the LCM of Fractions 384/304,8582/101 is 1647744

Greatest Common Factor of 304,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,101 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 304,101 . The biggest common factor number is the GCF number.
So the greatest common factor 304,101 is 1.


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 384/304, 8582/101

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 384/304, 8582/101?

Answer: LCM of Numerators as per given numbers 384/304, 8582/101 is

LCM of Numerators i.e. for 384,8582 is 1647744

GCF of denominators i.e. for 304,101 is 1.

Thus, LCM of Fractions is 1647744.Finally, LCM of Fractions for 384/304, 8582/101 is 1647744.