Least Common Multiple of 789/14, 401/5015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/14, 401/5015 quickly i.e. 316389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/14, 401/5015 is 316389.

LCM(789/14, 401/5015) = 316389

LCM of 789/14, 401/5015

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 789/14,401/5015

Given numbers are 789/14,401/5015

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 789,401

Least Common Multiple of Numerators i.e. LCM of 789,401 is 316389.

GCF of Denominators means GCF of 14,5015 as per the given fractions.

GCF of 14,5015 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,401

LCM of Fractions 789/14,401/5015 is 316389

Given numbers has no common factors except 1. So, there LCM is their product i.e 316389

Least Common Multiple of 789,401 with GCF Formula

Least Common Multiple of 789,401 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 789,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,401) = 1

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

GCF(789,401) x common factors =1 x 1 = 1

LCM(789,401) = ( 789 × 401 ) / 1

LCM(789,401) = 316389 / 1

LCM(789,401) = 316389


Lets's calculate GCF of 14,5015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316389/1

Therefore the LCM of Fractions 789/14,401/5015 is 316389

Greatest Common Factor of 14,5015 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,5015 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 5015

List of positive integer factors of 5015 that divides 5015 without a remainder.

1,5,17,59,85,295,1003,5015

Greatest Common Factor

We found the factors 14,5015 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5015 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 789/14, 401/5015

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 789/14, 401/5015?

Answer: LCM of Numerators as per given numbers 789/14, 401/5015 is

LCM of Numerators i.e. for 789,401 is 316389

GCF of denominators i.e. for 14,5015 is 1.

Thus, LCM of Fractions is 316389.Finally, LCM of Fractions for 789/14, 401/5015 is 316389.