Least Common Multiple of 5939/622, 4987/5616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5939/622, 4987/5616 quickly i.e. 29617793/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5939/622, 4987/5616 is 29617793/2.

LCM(5939/622, 4987/5616) = 29617793/2

LCM of 5939/622, 4987/5616

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 5939/622,4987/5616

Given numbers are 5939/622,4987/5616

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 5939,4987

Least Common Multiple of Numerators i.e. LCM of 5939,4987 is 29617793.

GCF of Denominators means GCF of 622,5616 as per the given fractions.

GCF of 622,5616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5939,4987

LCM of Fractions 5939/622,4987/5616 is 29617793/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 29617793

Least Common Multiple of 5939,4987 with GCF Formula

Least Common Multiple of 5939,4987 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 5939,4987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5939,4987) = 1

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

GCF(5939,4987) x common factors =1 x 1 = 1

LCM(5939,4987) = ( 5939 × 4987 ) / 1

LCM(5939,4987) = 29617793 / 1

LCM(5939,4987) = 29617793


Lets's calculate GCF of 622,5616

2 622, 5616
311, 2808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29617793/2

Therefore the LCM of Fractions 5939/622,4987/5616 is 29617793/2

Greatest Common Factor of 622,5616 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,5616 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors 622,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 622,5616 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5939/622, 4987/5616

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 5939/622, 4987/5616?

Answer: LCM of Numerators as per given numbers 5939/622, 4987/5616 is

LCM of Numerators i.e. for 5939,4987 is 29617793

GCF of denominators i.e. for 622,5616 is 2.

Thus, LCM of Fractions is 29617793/2.Finally, LCM of Fractions for 5939/622, 4987/5616 is 29617793/2.