Least Common Multiple of 686/403, 8697/9451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/403, 8697/9451 quickly i.e. 458934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/403, 8697/9451 is 458934.

LCM(686/403, 8697/9451) = 458934

LCM of 686/403, 8697/9451

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 686/403,8697/9451

Given numbers are 686/403,8697/9451

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 686,8697

Least Common Multiple of Numerators i.e. LCM of 686,8697 is 5966142.

GCF of Denominators means GCF of 403,9451 as per the given fractions.

GCF of 403,9451 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,8697

LCM of Fractions 686/403,8697/9451 is 458934

Given numbers has no common factors except 1. So, there LCM is their product i.e 5966142

Least Common Multiple of 686,8697 with GCF Formula

Least Common Multiple of 686,8697 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 686,8697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,8697) = 1

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

GCF(686,8697) x common factors =1 x 1 = 1

LCM(686,8697) = ( 686 × 8697 ) / 1

LCM(686,8697) = 5966142 / 1

LCM(686,8697) = 5966142


Lets's calculate GCF of 403,9451

13 403, 9451
31, 727

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5966142/13

Therefore the LCM of Fractions 686/403,8697/9451 is 458934

Greatest Common Factor of 403,9451 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,9451 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1,13,727,9451

Greatest Common Factor

We found the factors 403,9451 . The biggest common factor number is the GCF number.
So the greatest common factor 403,9451 is 13.


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 686/403, 8697/9451

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 686/403, 8697/9451?

Answer: LCM of Numerators as per given numbers 686/403, 8697/9451 is

LCM of Numerators i.e. for 686,8697 is 5966142

GCF of denominators i.e. for 403,9451 is 13.

Thus, LCM of Fractions is 458934.Finally, LCM of Fractions for 686/403, 8697/9451 is 458934.