Least Common Multiple of 813/36, 621/75, 335/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/36, 621/75, 335/574 quickly i.e. 56377485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/36, 621/75, 335/574 is 56377485.

LCM(813/36, 621/75, 335/574) = 56377485

LCM of 813/36, 621/75, 335/574

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 813/36,621/75,335/574

Given numbers are 813/36,621/75,335/574

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 813,621,335

Least Common Multiple of Numerators i.e. LCM of 813,621,335 is 56377485.

GCF of Denominators means GCF of 36,75,574 as per the given fractions.

GCF of 36,75,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,621,335

LCM of Fractions 813/36,621/75,335/574 is 56377485

3 813, 621, 335
271, 207, 335

∴ So the LCM of the given numbers is 3 x 271 x 207 x 335 = 56377485

Least Common Multiple of 813,621,335 with GCF Formula

Least Common Multiple of 813,621,335 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 813,621,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,621,335) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(813,621,335) x common factors =1 x 3 = 3

LCM(813,621,335) = ( 813 × 621 × 335 ) / 3

LCM(813,621,335) = 169132455 / 3

LCM(813,621,335) = 56377485


Lets's calculate GCF of 36,75,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56377485/1

Therefore the LCM of Fractions 813/36,621/75,335/574 is 56377485

Greatest Common Factor of 36,75,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,75,574 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 36,75,574 . The biggest common factor number is the GCF number.
So the greatest common factor 36,75,574 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 813/36, 621/75, 335/574

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 813/36, 621/75, 335/574?

Answer: LCM of Numerators as per given numbers 813/36, 621/75, 335/574 is

LCM of Numerators i.e. for 813,621,335 is 56377485

GCF of denominators i.e. for 36,75,574 is 1.

Thus, LCM of Fractions is 56377485.Finally, LCM of Fractions for 813/36, 621/75, 335/574 is 56377485.