Least Common Multiple of 51/409, 7027/3807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/409, 7027/3807 quickly i.e. 358377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/409, 7027/3807 is 358377.

LCM(51/409, 7027/3807) = 358377

LCM of 51/409, 7027/3807

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 51/409,7027/3807

Given numbers are 51/409,7027/3807

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 51,7027

Least Common Multiple of Numerators i.e. LCM of 51,7027 is 358377.

GCF of Denominators means GCF of 409,3807 as per the given fractions.

GCF of 409,3807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,7027

LCM of Fractions 51/409,7027/3807 is 358377

Given numbers has no common factors except 1. So, there LCM is their product i.e 358377

Least Common Multiple of 51,7027 with GCF Formula

Least Common Multiple of 51,7027 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 51,7027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7027) = 1

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

GCF(51,7027) x common factors =1 x 1 = 1

LCM(51,7027) = ( 51 × 7027 ) / 1

LCM(51,7027) = 358377 / 1

LCM(51,7027) = 358377


Lets's calculate GCF of 409,3807

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358377/1

Therefore the LCM of Fractions 51/409,7027/3807 is 358377

Greatest Common Factor of 409,3807 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,3807 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 3807

List of positive integer factors of 3807 that divides 3807 without a remainder.

1,3,9,27,47,81,141,423,1269,3807

Greatest Common Factor

We found the factors 409,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 409,3807 is 1.


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 51/409, 7027/3807

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 51/409, 7027/3807?

Answer: LCM of Numerators as per given numbers 51/409, 7027/3807 is

LCM of Numerators i.e. for 51,7027 is 358377

GCF of denominators i.e. for 409,3807 is 1.

Thus, LCM of Fractions is 358377.Finally, LCM of Fractions for 51/409, 7027/3807 is 358377.