Least Common Multiple of 397/682, 1067/6235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/682, 1067/6235 quickly i.e. 423599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/682, 1067/6235 is 423599.

LCM(397/682, 1067/6235) = 423599

LCM of 397/682, 1067/6235

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 397/682,1067/6235

Given numbers are 397/682,1067/6235

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 397,1067

Least Common Multiple of Numerators i.e. LCM of 397,1067 is 423599.

GCF of Denominators means GCF of 682,6235 as per the given fractions.

GCF of 682,6235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,1067

LCM of Fractions 397/682,1067/6235 is 423599

Given numbers has no common factors except 1. So, there LCM is their product i.e 423599

Least Common Multiple of 397,1067 with GCF Formula

Least Common Multiple of 397,1067 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 397,1067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,1067) = 1

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

GCF(397,1067) x common factors =1 x 1 = 1

LCM(397,1067) = ( 397 × 1067 ) / 1

LCM(397,1067) = 423599 / 1

LCM(397,1067) = 423599


Lets's calculate GCF of 682,6235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423599/1

Therefore the LCM of Fractions 397/682,1067/6235 is 423599

Greatest Common Factor of 682,6235 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,6235 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 6235

List of positive integer factors of 6235 that divides 6235 without a remainder.

1,5,29,43,145,215,1247,6235

Greatest Common Factor

We found the factors 682,6235 . The biggest common factor number is the GCF number.
So the greatest common factor 682,6235 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 397/682, 1067/6235

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 397/682, 1067/6235?

Answer: LCM of Numerators as per given numbers 397/682, 1067/6235 is

LCM of Numerators i.e. for 397,1067 is 423599

GCF of denominators i.e. for 682,6235 is 1.

Thus, LCM of Fractions is 423599.Finally, LCM of Fractions for 397/682, 1067/6235 is 423599.