Least Common Multiple of 7983/398, 8276/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7983/398, 8276/733 quickly i.e. 66067308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7983/398, 8276/733 is 66067308.

LCM(7983/398, 8276/733) = 66067308

LCM of 7983/398, 8276/733

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 7983/398,8276/733

Given numbers are 7983/398,8276/733

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 7983,8276

Least Common Multiple of Numerators i.e. LCM of 7983,8276 is 66067308.

GCF of Denominators means GCF of 398,733 as per the given fractions.

GCF of 398,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7983,8276

LCM of Fractions 7983/398,8276/733 is 66067308

Given numbers has no common factors except 1. So, there LCM is their product i.e 66067308

Least Common Multiple of 7983,8276 with GCF Formula

Least Common Multiple of 7983,8276 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 7983,8276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7983,8276) = 1

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

GCF(7983,8276) x common factors =1 x 1 = 1

LCM(7983,8276) = ( 7983 × 8276 ) / 1

LCM(7983,8276) = 66067308 / 1

LCM(7983,8276) = 66067308


Lets's calculate GCF of 398,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66067308/1

Therefore the LCM of Fractions 7983/398,8276/733 is 66067308

Greatest Common Factor of 398,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,733 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 398,733 . The biggest common factor number is the GCF number.
So the greatest common factor 398,733 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 7983/398, 8276/733

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 7983/398, 8276/733?

Answer: LCM of Numerators as per given numbers 7983/398, 8276/733 is

LCM of Numerators i.e. for 7983,8276 is 66067308

GCF of denominators i.e. for 398,733 is 1.

Thus, LCM of Fractions is 66067308.Finally, LCM of Fractions for 7983/398, 8276/733 is 66067308.