Least Common Multiple of 21/802, 20/823, 316/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/802, 20/823, 316/234 quickly i.e. 33180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/802, 20/823, 316/234 is 33180.

LCM(21/802, 20/823, 316/234) = 33180

LCM of 21/802, 20/823, 316/234

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 21/802,20/823,316/234

Given numbers are 21/802,20/823,316/234

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 21,20,316

Least Common Multiple of Numerators i.e. LCM of 21,20,316 is 33180.

GCF of Denominators means GCF of 802,823,234 as per the given fractions.

GCF of 802,823,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,20,316

LCM of Fractions 21/802,20/823,316/234 is 33180

2 21, 20, 316
2 21, 10, 158
21, 5, 79

∴ So the LCM of the given numbers is 2 x 2 x 21 x 5 x 79 = 33180

Least Common Multiple of 21,20,316 with GCF Formula

Least Common Multiple of 21,20,316 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 21,20,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,20,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(21,20,316) x common factors =1 x 4 = 4

LCM(21,20,316) = ( 21 × 20 × 316 ) / 4

LCM(21,20,316) = 132720 / 4

LCM(21,20,316) = 33180


Lets's calculate GCF of 802,823,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33180/1

Therefore the LCM of Fractions 21/802,20/823,316/234 is 33180

Greatest Common Factor of 802,823,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,823,234 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 802,823,234 . The biggest common factor number is the GCF number.
So the greatest common factor 802,823,234 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 21/802, 20/823, 316/234

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 21/802, 20/823, 316/234?

Answer: LCM of Numerators as per given numbers 21/802, 20/823, 316/234 is

LCM of Numerators i.e. for 21,20,316 is 33180

GCF of denominators i.e. for 802,823,234 is 1.

Thus, LCM of Fractions is 33180.Finally, LCM of Fractions for 21/802, 20/823, 316/234 is 33180.