Least Common Multiple of 5107/542, 1586/1564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5107/542, 1586/1564 quickly i.e. 4049851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5107/542, 1586/1564 is 4049851.

LCM(5107/542, 1586/1564) = 4049851

LCM of 5107/542, 1586/1564

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 5107/542,1586/1564

Given numbers are 5107/542,1586/1564

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 5107,1586

Least Common Multiple of Numerators i.e. LCM of 5107,1586 is 8099702.

GCF of Denominators means GCF of 542,1564 as per the given fractions.

GCF of 542,1564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5107,1586

LCM of Fractions 5107/542,1586/1564 is 4049851

Given numbers has no common factors except 1. So, there LCM is their product i.e 8099702

Least Common Multiple of 5107,1586 with GCF Formula

Least Common Multiple of 5107,1586 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 5107,1586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5107,1586) = 1

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

GCF(5107,1586) x common factors =1 x 1 = 1

LCM(5107,1586) = ( 5107 × 1586 ) / 1

LCM(5107,1586) = 8099702 / 1

LCM(5107,1586) = 8099702


Lets's calculate GCF of 542,1564

2 542, 1564
271, 782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8099702/2

Therefore the LCM of Fractions 5107/542,1586/1564 is 4049851

Greatest Common Factor of 542,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,1564 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 542,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 542,1564 is 2.


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 5107/542, 1586/1564

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 5107/542, 1586/1564?

Answer: LCM of Numerators as per given numbers 5107/542, 1586/1564 is

LCM of Numerators i.e. for 5107,1586 is 8099702

GCF of denominators i.e. for 542,1564 is 2.

Thus, LCM of Fractions is 4049851.Finally, LCM of Fractions for 5107/542, 1586/1564 is 4049851.