Least Common Multiple of 822/52, 522/46, 473/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/52, 522/46, 473/722 quickly i.e. 16913061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/52, 522/46, 473/722 is 16913061.

LCM(822/52, 522/46, 473/722) = 16913061

LCM of 822/52, 522/46, 473/722

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 822/52,522/46,473/722

Given numbers are 822/52,522/46,473/722

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 822,522,473

Least Common Multiple of Numerators i.e. LCM of 822,522,473 is 33826122.

GCF of Denominators means GCF of 52,46,722 as per the given fractions.

GCF of 52,46,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,522,473

LCM of Fractions 822/52,522/46,473/722 is 16913061

2 822, 522, 473
3 411, 261, 473
137, 87, 473

∴ So the LCM of the given numbers is 2 x 3 x 137 x 87 x 473 = 33826122

Least Common Multiple of 822,522,473 with GCF Formula

Least Common Multiple of 822,522,473 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 822,522,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,522,473) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(822,522,473) x common factors =1 x 6 = 6

LCM(822,522,473) = ( 822 × 522 × 473 ) / 6

LCM(822,522,473) = 202956732 / 6

LCM(822,522,473) = 33826122


Lets's calculate GCF of 52,46,722

2 52, 46, 722
26, 23, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33826122/2

Therefore the LCM of Fractions 822/52,522/46,473/722 is 16913061

Greatest Common Factor of 52,46,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,46,722 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 52,46,722 . The biggest common factor number is the GCF number.
So the greatest common factor 52,46,722 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 822/52, 522/46, 473/722

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 822/52, 522/46, 473/722?

Answer: LCM of Numerators as per given numbers 822/52, 522/46, 473/722 is

LCM of Numerators i.e. for 822,522,473 is 33826122

GCF of denominators i.e. for 52,46,722 is 2.

Thus, LCM of Fractions is 16913061.Finally, LCM of Fractions for 822/52, 522/46, 473/722 is 16913061.