Least Common Multiple of 7029/667, 7164/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7029/667, 7164/330 quickly i.e. 5595084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7029/667, 7164/330 is 5595084.

LCM(7029/667, 7164/330) = 5595084

LCM of 7029/667, 7164/330

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 7029/667,7164/330

Given numbers are 7029/667,7164/330

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 7029,7164

Least Common Multiple of Numerators i.e. LCM of 7029,7164 is 5595084.

GCF of Denominators means GCF of 667,330 as per the given fractions.

GCF of 667,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7029,7164

LCM of Fractions 7029/667,7164/330 is 5595084

3 7029, 7164
3 2343, 2388
781, 796

∴ So the LCM of the given numbers is 3 x 3 x 781 x 796 = 5595084

Least Common Multiple of 7029,7164 with GCF Formula

Least Common Multiple of 7029,7164 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 7029,7164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7029,7164) = 9

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

GCF(7029,7164) x common factors =9 x 1 = 9

LCM(7029,7164) = ( 7029 × 7164 ) / 9

LCM(7029,7164) = 50355756 / 9

LCM(7029,7164) = 5595084


Lets's calculate GCF of 667,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5595084/1

Therefore the LCM of Fractions 7029/667,7164/330 is 5595084

Greatest Common Factor of 667,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,330 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 667,330 . The biggest common factor number is the GCF number.
So the greatest common factor 667,330 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 7029/667, 7164/330

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 7029/667, 7164/330?

Answer: LCM of Numerators as per given numbers 7029/667, 7164/330 is

LCM of Numerators i.e. for 7029,7164 is 5595084

GCF of denominators i.e. for 667,330 is 1.

Thus, LCM of Fractions is 5595084.Finally, LCM of Fractions for 7029/667, 7164/330 is 5595084.