Least Common Multiple of 5822/731, 5739/5542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5822/731, 5739/5542 quickly i.e. 33412458/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5822/731, 5739/5542 is 33412458/17.

LCM(5822/731, 5739/5542) = 33412458/17

LCM of 5822/731, 5739/5542

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 5822/731,5739/5542

Given numbers are 5822/731,5739/5542

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 5822,5739

Least Common Multiple of Numerators i.e. LCM of 5822,5739 is 33412458.

GCF of Denominators means GCF of 731,5542 as per the given fractions.

GCF of 731,5542 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5822,5739

LCM of Fractions 5822/731,5739/5542 is 33412458/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 33412458

Least Common Multiple of 5822,5739 with GCF Formula

Least Common Multiple of 5822,5739 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 5822,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5822,5739) = 1

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

GCF(5822,5739) x common factors =1 x 1 = 1

LCM(5822,5739) = ( 5822 × 5739 ) / 1

LCM(5822,5739) = 33412458 / 1

LCM(5822,5739) = 33412458


Lets's calculate GCF of 731,5542

17 731, 5542
43, 326

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33412458/17

Therefore the LCM of Fractions 5822/731,5739/5542 is 33412458/17

Greatest Common Factor of 731,5542 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,5542 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 5542

List of positive integer factors of 5542 that divides 5542 without a remainder.

1,2,17,34,163,326,2771,5542

Greatest Common Factor

We found the factors 731,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 731,5542 is 17.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5822/731, 5739/5542

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 5822/731, 5739/5542?

Answer: LCM of Numerators as per given numbers 5822/731, 5739/5542 is

LCM of Numerators i.e. for 5822,5739 is 33412458

GCF of denominators i.e. for 731,5542 is 17.

Thus, LCM of Fractions is 33412458/17.Finally, LCM of Fractions for 5822/731, 5739/5542 is 33412458/17.