Least Common Multiple of 7613/536, 4027/3086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7613/536, 4027/3086 quickly i.e. 30657551/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7613/536, 4027/3086 is 30657551/2.

LCM(7613/536, 4027/3086) = 30657551/2

LCM of 7613/536, 4027/3086

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 7613/536,4027/3086

Given numbers are 7613/536,4027/3086

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 7613,4027

Least Common Multiple of Numerators i.e. LCM of 7613,4027 is 30657551.

GCF of Denominators means GCF of 536,3086 as per the given fractions.

GCF of 536,3086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7613,4027

LCM of Fractions 7613/536,4027/3086 is 30657551/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 30657551

Least Common Multiple of 7613,4027 with GCF Formula

Least Common Multiple of 7613,4027 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 7613,4027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7613,4027) = 1

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

GCF(7613,4027) x common factors =1 x 1 = 1

LCM(7613,4027) = ( 7613 × 4027 ) / 1

LCM(7613,4027) = 30657551 / 1

LCM(7613,4027) = 30657551


Lets's calculate GCF of 536,3086

2 536, 3086
268, 1543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30657551/2

Therefore the LCM of Fractions 7613/536,4027/3086 is 30657551/2

Greatest Common Factor of 536,3086 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,3086 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 3086

List of positive integer factors of 3086 that divides 3086 without a remainder.

1,2,1543,3086

Greatest Common Factor

We found the factors 536,3086 . The biggest common factor number is the GCF number.
So the greatest common factor 536,3086 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 7613/536, 4027/3086

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 7613/536, 4027/3086?

Answer: LCM of Numerators as per given numbers 7613/536, 4027/3086 is

LCM of Numerators i.e. for 7613,4027 is 30657551

GCF of denominators i.e. for 536,3086 is 2.

Thus, LCM of Fractions is 30657551/2.Finally, LCM of Fractions for 7613/536, 4027/3086 is 30657551/2.