Least Common Multiple of 667/15, 405/8503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/15, 405/8503 quickly i.e. 270135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/15, 405/8503 is 270135.

LCM(667/15, 405/8503) = 270135

LCM of 667/15, 405/8503

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 667/15,405/8503

Given numbers are 667/15,405/8503

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 667,405

Least Common Multiple of Numerators i.e. LCM of 667,405 is 270135.

GCF of Denominators means GCF of 15,8503 as per the given fractions.

GCF of 15,8503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,405

LCM of Fractions 667/15,405/8503 is 270135

Given numbers has no common factors except 1. So, there LCM is their product i.e 270135

Least Common Multiple of 667,405 with GCF Formula

Least Common Multiple of 667,405 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 667,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,405) = 1

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

GCF(667,405) x common factors =1 x 1 = 1

LCM(667,405) = ( 667 × 405 ) / 1

LCM(667,405) = 270135 / 1

LCM(667,405) = 270135


Lets's calculate GCF of 15,8503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270135/1

Therefore the LCM of Fractions 667/15,405/8503 is 270135

Greatest Common Factor of 15,8503 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,8503 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 8503

List of positive integer factors of 8503 that divides 8503 without a remainder.

1,11,773,8503

Greatest Common Factor

We found the factors 15,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 15,8503 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 667/15, 405/8503

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 667/15, 405/8503?

Answer: LCM of Numerators as per given numbers 667/15, 405/8503 is

LCM of Numerators i.e. for 667,405 is 270135

GCF of denominators i.e. for 15,8503 is 1.

Thus, LCM of Fractions is 270135.Finally, LCM of Fractions for 667/15, 405/8503 is 270135.