Least Common Multiple of 6629/633, 8162/1350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6629/633, 8162/1350 quickly i.e. 7729414/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6629/633, 8162/1350 is 7729414/3.

LCM(6629/633, 8162/1350) = 7729414/3

LCM of 6629/633, 8162/1350

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 6629/633,8162/1350

Given numbers are 6629/633,8162/1350

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 6629,8162

Least Common Multiple of Numerators i.e. LCM of 6629,8162 is 7729414.

GCF of Denominators means GCF of 633,1350 as per the given fractions.

GCF of 633,1350 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6629,8162

LCM of Fractions 6629/633,8162/1350 is 7729414/3

7 6629, 8162
947, 1166

∴ So the LCM of the given numbers is 7 x 947 x 1166 = 7729414

Least Common Multiple of 6629,8162 with GCF Formula

Least Common Multiple of 6629,8162 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 6629,8162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6629,8162) = 7

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

GCF(6629,8162) x common factors =7 x 1 = 7

LCM(6629,8162) = ( 6629 × 8162 ) / 7

LCM(6629,8162) = 54105898 / 7

LCM(6629,8162) = 7729414


Lets's calculate GCF of 633,1350

3 633, 1350
211, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7729414/3

Therefore the LCM of Fractions 6629/633,8162/1350 is 7729414/3

Greatest Common Factor of 633,1350 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,1350 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 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Greatest Common Factor

We found the factors 633,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 633,1350 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 6629/633, 8162/1350

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 6629/633, 8162/1350?

Answer: LCM of Numerators as per given numbers 6629/633, 8162/1350 is

LCM of Numerators i.e. for 6629,8162 is 7729414

GCF of denominators i.e. for 633,1350 is 3.

Thus, LCM of Fractions is 7729414/3.Finally, LCM of Fractions for 6629/633, 8162/1350 is 7729414/3.