Least Common Multiple of 6657/633, 8283/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6657/633, 8283/450 quickly i.e. 6126659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6657/633, 8283/450 is 6126659.

LCM(6657/633, 8283/450) = 6126659

LCM of 6657/633, 8283/450

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 6657/633,8283/450

Given numbers are 6657/633,8283/450

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 6657,8283

Least Common Multiple of Numerators i.e. LCM of 6657,8283 is 18379977.

GCF of Denominators means GCF of 633,450 as per the given fractions.

GCF of 633,450 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6657,8283

LCM of Fractions 6657/633,8283/450 is 6126659

3 6657, 8283
2219, 2761

∴ So the LCM of the given numbers is 3 x 2219 x 2761 = 18379977

Least Common Multiple of 6657,8283 with GCF Formula

Least Common Multiple of 6657,8283 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 6657,8283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6657,8283) = 3

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

GCF(6657,8283) x common factors =3 x 1 = 3

LCM(6657,8283) = ( 6657 × 8283 ) / 3

LCM(6657,8283) = 55139931 / 3

LCM(6657,8283) = 18379977


Lets's calculate GCF of 633,450

3 633, 450
211, 150

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18379977/3

Therefore the LCM of Fractions 6657/633,8283/450 is 6126659

Greatest Common Factor of 633,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,450 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 633,450 . The biggest common factor number is the GCF number.
So the greatest common factor 633,450 is 3.


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 6657/633, 8283/450

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 6657/633, 8283/450?

Answer: LCM of Numerators as per given numbers 6657/633, 8283/450 is

LCM of Numerators i.e. for 6657,8283 is 18379977

GCF of denominators i.e. for 633,450 is 3.

Thus, LCM of Fractions is 6126659.Finally, LCM of Fractions for 6657/633, 8283/450 is 6126659.