Least Common Multiple of 387/80, 407/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/80, 407/367 quickly i.e. 157509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/80, 407/367 is 157509.

LCM(387/80, 407/367) = 157509

LCM of 387/80, 407/367

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 387/80,407/367

Given numbers are 387/80,407/367

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 387,407

Least Common Multiple of Numerators i.e. LCM of 387,407 is 157509.

GCF of Denominators means GCF of 80,367 as per the given fractions.

GCF of 80,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,407

LCM of Fractions 387/80,407/367 is 157509

Given numbers has no common factors except 1. So, there LCM is their product i.e 157509

Least Common Multiple of 387,407 with GCF Formula

Least Common Multiple of 387,407 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 387,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,407) = 1

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

GCF(387,407) x common factors =1 x 1 = 1

LCM(387,407) = ( 387 × 407 ) / 1

LCM(387,407) = 157509 / 1

LCM(387,407) = 157509


Lets's calculate GCF of 80,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157509/1

Therefore the LCM of Fractions 387/80,407/367 is 157509

Greatest Common Factor of 80,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,367 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 80,367 . The biggest common factor number is the GCF number.
So the greatest common factor 80,367 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 387/80, 407/367

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 387/80, 407/367?

Answer: LCM of Numerators as per given numbers 387/80, 407/367 is

LCM of Numerators i.e. for 387,407 is 157509

GCF of denominators i.e. for 80,367 is 1.

Thus, LCM of Fractions is 157509.Finally, LCM of Fractions for 387/80, 407/367 is 157509.