Least Common Multiple of 36/604, 270/816, 790/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/604, 270/816, 790/798 quickly i.e. 21330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/604, 270/816, 790/798 is 21330.

LCM(36/604, 270/816, 790/798) = 21330

LCM of 36/604, 270/816, 790/798

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 36/604,270/816,790/798

Given numbers are 36/604,270/816,790/798

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 36,270,790

Least Common Multiple of Numerators i.e. LCM of 36,270,790 is 42660.

GCF of Denominators means GCF of 604,816,798 as per the given fractions.

GCF of 604,816,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,270,790

LCM of Fractions 36/604,270/816,790/798 is 21330

2 36, 270, 790
3 18, 135, 395
3 6, 45, 395
5 2, 15, 395
2, 3, 79

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 2 x 3 x 79 = 42660

Least Common Multiple of 36,270,790 with GCF Formula

Least Common Multiple of 36,270,790 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 36,270,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,270,790) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(36,270,790) x common factors =2 x 90 = 180

LCM(36,270,790) = ( 36 × 270 × 790 ) / 180

LCM(36,270,790) = 7678800 / 180

LCM(36,270,790) = 42660


Lets's calculate GCF of 604,816,798

2 604, 816, 798
302, 408, 399

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42660/2

Therefore the LCM of Fractions 36/604,270/816,790/798 is 21330

Greatest Common Factor of 604,816,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,816,798 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 604,816,798 . The biggest common factor number is the GCF number.
So the greatest common factor 604,816,798 is 2.


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 36/604, 270/816, 790/798

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 36/604, 270/816, 790/798?

Answer: LCM of Numerators as per given numbers 36/604, 270/816, 790/798 is

LCM of Numerators i.e. for 36,270,790 is 42660

GCF of denominators i.e. for 604,816,798 is 2.

Thus, LCM of Fractions is 21330.Finally, LCM of Fractions for 36/604, 270/816, 790/798 is 21330.