Least Common Multiple of 76/405, 28/426, 357/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/405, 28/426, 357/585 quickly i.e. 9044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/405, 28/426, 357/585 is 9044.

LCM(76/405, 28/426, 357/585) = 9044

LCM of 76/405, 28/426, 357/585

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 76/405,28/426,357/585

Given numbers are 76/405,28/426,357/585

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 76,28,357

Least Common Multiple of Numerators i.e. LCM of 76,28,357 is 27132.

GCF of Denominators means GCF of 405,426,585 as per the given fractions.

GCF of 405,426,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,28,357

LCM of Fractions 76/405,28/426,357/585 is 9044

2 76, 28, 357
2 38, 14, 357
7 19, 7, 357
19, 1, 51

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 1 x 51 = 27132

Least Common Multiple of 76,28,357 with GCF Formula

Least Common Multiple of 76,28,357 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 76,28,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,28,357) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(76,28,357) x common factors =1 x 28 = 28

LCM(76,28,357) = ( 76 × 28 × 357 ) / 28

LCM(76,28,357) = 759696 / 28

LCM(76,28,357) = 27132


Lets's calculate GCF of 405,426,585

3 405, 426, 585
135, 142, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27132/3

Therefore the LCM of Fractions 76/405,28/426,357/585 is 9044

Greatest Common Factor of 405,426,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,426,585 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

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 405,426,585 . The biggest common factor number is the GCF number.
So the greatest common factor 405,426,585 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 76/405, 28/426, 357/585

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 76/405, 28/426, 357/585?

Answer: LCM of Numerators as per given numbers 76/405, 28/426, 357/585 is

LCM of Numerators i.e. for 76,28,357 is 27132

GCF of denominators i.e. for 405,426,585 is 3.

Thus, LCM of Fractions is 9044.Finally, LCM of Fractions for 76/405, 28/426, 357/585 is 9044.