Least Common Multiple of 5866/260, 7009/1996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5866/260, 7009/1996 quickly i.e. 41114794/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5866/260, 7009/1996 is 41114794/4.

LCM(5866/260, 7009/1996) = 41114794/4

LCM of 5866/260, 7009/1996

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 5866/260,7009/1996

Given numbers are 5866/260,7009/1996

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 5866,7009

Least Common Multiple of Numerators i.e. LCM of 5866,7009 is 41114794.

GCF of Denominators means GCF of 260,1996 as per the given fractions.

GCF of 260,1996 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5866,7009

LCM of Fractions 5866/260,7009/1996 is 41114794/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 41114794

Least Common Multiple of 5866,7009 with GCF Formula

Least Common Multiple of 5866,7009 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 5866,7009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5866,7009) = 1

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

GCF(5866,7009) x common factors =1 x 1 = 1

LCM(5866,7009) = ( 5866 × 7009 ) / 1

LCM(5866,7009) = 41114794 / 1

LCM(5866,7009) = 41114794


Lets's calculate GCF of 260,1996

2 260, 1996
2 130, 998
65, 499

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41114794/4

Therefore the LCM of Fractions 5866/260,7009/1996 is 41114794/4

Greatest Common Factor of 260,1996 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,1996 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1,2,4,499,998,1996

Greatest Common Factor

We found the factors 260,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 260,1996 is 4.


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 5866/260, 7009/1996

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 5866/260, 7009/1996?

Answer: LCM of Numerators as per given numbers 5866/260, 7009/1996 is

LCM of Numerators i.e. for 5866,7009 is 41114794

GCF of denominators i.e. for 260,1996 is 4.

Thus, LCM of Fractions is 41114794/4.Finally, LCM of Fractions for 5866/260, 7009/1996 is 41114794/4.