Least Common Multiple of 5606/592, 9228/3349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5606/592, 9228/3349 quickly i.e. 25866084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5606/592, 9228/3349 is 25866084.

LCM(5606/592, 9228/3349) = 25866084

LCM of 5606/592, 9228/3349

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 5606/592,9228/3349

Given numbers are 5606/592,9228/3349

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 5606,9228

Least Common Multiple of Numerators i.e. LCM of 5606,9228 is 25866084.

GCF of Denominators means GCF of 592,3349 as per the given fractions.

GCF of 592,3349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5606,9228

LCM of Fractions 5606/592,9228/3349 is 25866084

2 5606, 9228
2803, 4614

∴ So the LCM of the given numbers is 2 x 2803 x 4614 = 25866084

Least Common Multiple of 5606,9228 with GCF Formula

Least Common Multiple of 5606,9228 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 5606,9228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5606,9228) = 2

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

GCF(5606,9228) x common factors =2 x 1 = 2

LCM(5606,9228) = ( 5606 × 9228 ) / 2

LCM(5606,9228) = 51732168 / 2

LCM(5606,9228) = 25866084


Lets's calculate GCF of 592,3349

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25866084/1

Therefore the LCM of Fractions 5606/592,9228/3349 is 25866084

Greatest Common Factor of 592,3349 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,3349 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 3349

List of positive integer factors of 3349 that divides 3349 without a remainder.

1,17,197,3349

Greatest Common Factor

We found the factors 592,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 592,3349 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5606/592, 9228/3349

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 5606/592, 9228/3349?

Answer: LCM of Numerators as per given numbers 5606/592, 9228/3349 is

LCM of Numerators i.e. for 5606,9228 is 25866084

GCF of denominators i.e. for 592,3349 is 1.

Thus, LCM of Fractions is 25866084.Finally, LCM of Fractions for 5606/592, 9228/3349 is 25866084.