Least Common Multiple of 5636/844, 5224/9362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5636/844, 5224/9362 quickly i.e. 3680308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5636/844, 5224/9362 is 3680308.

LCM(5636/844, 5224/9362) = 3680308

LCM of 5636/844, 5224/9362

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 5636/844,5224/9362

Given numbers are 5636/844,5224/9362

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 5636,5224

Least Common Multiple of Numerators i.e. LCM of 5636,5224 is 7360616.

GCF of Denominators means GCF of 844,9362 as per the given fractions.

GCF of 844,9362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5636,5224

LCM of Fractions 5636/844,5224/9362 is 3680308

2 5636, 5224
2 2818, 2612
1409, 1306

∴ So the LCM of the given numbers is 2 x 2 x 1409 x 1306 = 7360616

Least Common Multiple of 5636,5224 with GCF Formula

Least Common Multiple of 5636,5224 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 5636,5224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5636,5224) = 4

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

GCF(5636,5224) x common factors =4 x 1 = 4

LCM(5636,5224) = ( 5636 × 5224 ) / 4

LCM(5636,5224) = 29442464 / 4

LCM(5636,5224) = 7360616


Lets's calculate GCF of 844,9362

2 844, 9362
422, 4681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7360616/2

Therefore the LCM of Fractions 5636/844,5224/9362 is 3680308

Greatest Common Factor of 844,9362 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,9362 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 9362

List of positive integer factors of 9362 that divides 9362 without a remainder.

1,2,31,62,151,302,4681,9362

Greatest Common Factor

We found the factors 844,9362 . The biggest common factor number is the GCF number.
So the greatest common factor 844,9362 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5636/844, 5224/9362

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 5636/844, 5224/9362?

Answer: LCM of Numerators as per given numbers 5636/844, 5224/9362 is

LCM of Numerators i.e. for 5636,5224 is 7360616

GCF of denominators i.e. for 844,9362 is 2.

Thus, LCM of Fractions is 3680308.Finally, LCM of Fractions for 5636/844, 5224/9362 is 3680308.