Least Common Multiple of 3087/374, 5200/2805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3087/374, 5200/2805 quickly i.e. 16052400/187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3087/374, 5200/2805 is 16052400/187.

LCM(3087/374, 5200/2805) = 16052400/187

LCM of 3087/374, 5200/2805

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 3087/374,5200/2805

Given numbers are 3087/374,5200/2805

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 3087,5200

Least Common Multiple of Numerators i.e. LCM of 3087,5200 is 16052400.

GCF of Denominators means GCF of 374,2805 as per the given fractions.

GCF of 374,2805 is 187 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3087,5200

LCM of Fractions 3087/374,5200/2805 is 16052400/187

Given numbers has no common factors except 1. So, there LCM is their product i.e 16052400

Least Common Multiple of 3087,5200 with GCF Formula

Least Common Multiple of 3087,5200 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 3087,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3087,5200) = 1

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

GCF(3087,5200) x common factors =1 x 1 = 1

LCM(3087,5200) = ( 3087 × 5200 ) / 1

LCM(3087,5200) = 16052400 / 1

LCM(3087,5200) = 16052400


Lets's calculate GCF of 374,2805

11 374, 2805
17 34, 255
2, 15

∴ So the GCF of the given numbers is 11 x 17 = 187

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16052400/187

Therefore the LCM of Fractions 3087/374,5200/2805 is 16052400/187

Greatest Common Factor of 374,2805 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,2805 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 2805

List of positive integer factors of 2805 that divides 2805 without a remainder.

1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805

Greatest Common Factor

We found the factors 374,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 374,2805 is 187.


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 3087/374, 5200/2805

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 3087/374, 5200/2805?

Answer: LCM of Numerators as per given numbers 3087/374, 5200/2805 is

LCM of Numerators i.e. for 3087,5200 is 16052400

GCF of denominators i.e. for 374,2805 is 187.

Thus, LCM of Fractions is 16052400/187.Finally, LCM of Fractions for 3087/374, 5200/2805 is 16052400/187.