Least Common Multiple of 319/401, 1236/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 319/401, 1236/390 quickly i.e. 394284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/401, 1236/390 is 394284.

LCM(319/401, 1236/390) = 394284

LCM of 319/401, 1236/390

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 319/401,1236/390

Given numbers are 319/401,1236/390

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 319,1236

Least Common Multiple of Numerators i.e. LCM of 319,1236 is 394284.

GCF of Denominators means GCF of 401,390 as per the given fractions.

GCF of 401,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,1236

LCM of Fractions 319/401,1236/390 is 394284

Given numbers has no common factors except 1. So, there LCM is their product i.e 394284

Least Common Multiple of 319,1236 with GCF Formula

Least Common Multiple of 319,1236 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 319,1236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,1236) = 1

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

GCF(319,1236) x common factors =1 x 1 = 1

LCM(319,1236) = ( 319 × 1236 ) / 1

LCM(319,1236) = 394284 / 1

LCM(319,1236) = 394284


Lets's calculate GCF of 401,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394284/1

Therefore the LCM of Fractions 319/401,1236/390 is 394284

Greatest Common Factor of 401,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,390 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 401,390 . The biggest common factor number is the GCF number.
So the greatest common factor 401,390 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 319/401, 1236/390

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 319/401, 1236/390?

Answer: LCM of Numerators as per given numbers 319/401, 1236/390 is

LCM of Numerators i.e. for 319,1236 is 394284

GCF of denominators i.e. for 401,390 is 1.

Thus, LCM of Fractions is 394284.Finally, LCM of Fractions for 319/401, 1236/390 is 394284.