Least Common Multiple of 22/822, 576/40, 520/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/822, 576/40, 520/622 quickly i.e. 205920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/822, 576/40, 520/622 is 205920.

LCM(22/822, 576/40, 520/622) = 205920

LCM of 22/822, 576/40, 520/622

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 22/822,576/40,520/622

Given numbers are 22/822,576/40,520/622

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 22,576,520

Least Common Multiple of Numerators i.e. LCM of 22,576,520 is 411840.

GCF of Denominators means GCF of 822,40,622 as per the given fractions.

GCF of 822,40,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,576,520

LCM of Fractions 22/822,576/40,520/622 is 205920

2 22, 576, 520
2 11, 288, 260
2 11, 144, 130
11, 72, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 72 x 65 = 411840

Least Common Multiple of 22,576,520 with GCF Formula

Least Common Multiple of 22,576,520 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 22,576,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,576,520) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(22,576,520) x common factors =2 x 8 = 16

LCM(22,576,520) = ( 22 × 576 × 520 ) / 16

LCM(22,576,520) = 6589440 / 16

LCM(22,576,520) = 411840


Lets's calculate GCF of 822,40,622

2 822, 40, 622
411, 20, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411840/2

Therefore the LCM of Fractions 22/822,576/40,520/622 is 205920

Greatest Common Factor of 822,40,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,40,622 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 822,40,622 . The biggest common factor number is the GCF number.
So the greatest common factor 822,40,622 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 22/822, 576/40, 520/622

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 22/822, 576/40, 520/622?

Answer: LCM of Numerators as per given numbers 22/822, 576/40, 520/622 is

LCM of Numerators i.e. for 22,576,520 is 411840

GCF of denominators i.e. for 822,40,622 is 2.

Thus, LCM of Fractions is 205920.Finally, LCM of Fractions for 22/822, 576/40, 520/622 is 205920.