Least Common Multiple of 79/22, 80/590, 283/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/22, 80/590, 283/516 quickly i.e. 894280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/22, 80/590, 283/516 is 894280.

LCM(79/22, 80/590, 283/516) = 894280

LCM of 79/22, 80/590, 283/516

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 79/22,80/590,283/516

Given numbers are 79/22,80/590,283/516

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 79,80,283

Least Common Multiple of Numerators i.e. LCM of 79,80,283 is 1788560.

GCF of Denominators means GCF of 22,590,516 as per the given fractions.

GCF of 22,590,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,80,283

LCM of Fractions 79/22,80/590,283/516 is 894280

Given numbers has no common factors except 1. So, there LCM is their product i.e 1788560

Least Common Multiple of 79,80,283 with GCF Formula

Least Common Multiple of 79,80,283 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 79,80,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,80,283) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,80,283) x common factors =1 x 1 = 1

LCM(79,80,283) = ( 79 × 80 × 283 ) / 1

LCM(79,80,283) = 1788560 / 1

LCM(79,80,283) = 1788560


Lets's calculate GCF of 22,590,516

2 22, 590, 516
11, 295, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1788560/2

Therefore the LCM of Fractions 79/22,80/590,283/516 is 894280

Greatest Common Factor of 22,590,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,590,516 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 22,590,516 . The biggest common factor number is the GCF number.
So the greatest common factor 22,590,516 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 79/22, 80/590, 283/516

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 79/22, 80/590, 283/516?

Answer: LCM of Numerators as per given numbers 79/22, 80/590, 283/516 is

LCM of Numerators i.e. for 79,80,283 is 1788560

GCF of denominators i.e. for 22,590,516 is 2.

Thus, LCM of Fractions is 894280.Finally, LCM of Fractions for 79/22, 80/590, 283/516 is 894280.