Least Common Multiple of 304/569, 147/636, 756/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/569, 147/636, 756/585 quickly i.e. 402192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/569, 147/636, 756/585 is 402192.

LCM(304/569, 147/636, 756/585) = 402192

LCM of 304/569, 147/636, 756/585

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 304/569,147/636,756/585

Given numbers are 304/569,147/636,756/585

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 304,147,756

Least Common Multiple of Numerators i.e. LCM of 304,147,756 is 402192.

GCF of Denominators means GCF of 569,636,585 as per the given fractions.

GCF of 569,636,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,147,756

LCM of Fractions 304/569,147/636,756/585 is 402192

2 304, 147, 756
2 152, 147, 378
3 76, 147, 189
7 76, 49, 63
76, 7, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 76 x 7 x 9 = 402192

Least Common Multiple of 304,147,756 with GCF Formula

Least Common Multiple of 304,147,756 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 304,147,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,147,756) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(304,147,756) x common factors =1 x 84 = 84

LCM(304,147,756) = ( 304 × 147 × 756 ) / 84

LCM(304,147,756) = 33784128 / 84

LCM(304,147,756) = 402192


Lets's calculate GCF of 569,636,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402192/1

Therefore the LCM of Fractions 304/569,147/636,756/585 is 402192

Greatest Common Factor of 569,636,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,636,585 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 569,636,585 . The biggest common factor number is the GCF number.
So the greatest common factor 569,636,585 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 304/569, 147/636, 756/585

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 304/569, 147/636, 756/585?

Answer: LCM of Numerators as per given numbers 304/569, 147/636, 756/585 is

LCM of Numerators i.e. for 304,147,756 is 402192

GCF of denominators i.e. for 569,636,585 is 1.

Thus, LCM of Fractions is 402192.Finally, LCM of Fractions for 304/569, 147/636, 756/585 is 402192.