Least Common Multiple of 8222/728, 9614/5272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8222/728, 9614/5272 quickly i.e. 39523154/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8222/728, 9614/5272 is 39523154/8.

LCM(8222/728, 9614/5272) = 39523154/8

LCM of 8222/728, 9614/5272

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 8222/728,9614/5272

Given numbers are 8222/728,9614/5272

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 8222,9614

Least Common Multiple of Numerators i.e. LCM of 8222,9614 is 39523154.

GCF of Denominators means GCF of 728,5272 as per the given fractions.

GCF of 728,5272 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8222,9614

LCM of Fractions 8222/728,9614/5272 is 39523154/8

2 8222, 9614
4111, 4807

∴ So the LCM of the given numbers is 2 x 4111 x 4807 = 39523154

Least Common Multiple of 8222,9614 with GCF Formula

Least Common Multiple of 8222,9614 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 8222,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8222,9614) = 2

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

GCF(8222,9614) x common factors =2 x 1 = 2

LCM(8222,9614) = ( 8222 × 9614 ) / 2

LCM(8222,9614) = 79046308 / 2

LCM(8222,9614) = 39523154


Lets's calculate GCF of 728,5272

2 728, 5272
2 364, 2636
2 182, 1318
91, 659

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39523154/8

Therefore the LCM of Fractions 8222/728,9614/5272 is 39523154/8

Greatest Common Factor of 728,5272 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,5272 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 5272

List of positive integer factors of 5272 that divides 5272 without a remainder.

1,2,4,8,659,1318,2636,5272

Greatest Common Factor

We found the factors 728,5272 . The biggest common factor number is the GCF number.
So the greatest common factor 728,5272 is 8.


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 8222/728, 9614/5272

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 8222/728, 9614/5272?

Answer: LCM of Numerators as per given numbers 8222/728, 9614/5272 is

LCM of Numerators i.e. for 8222,9614 is 39523154

GCF of denominators i.e. for 728,5272 is 8.

Thus, LCM of Fractions is 39523154/8.Finally, LCM of Fractions for 8222/728, 9614/5272 is 39523154/8.