Least Common Multiple of 165/756, 7669/6027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/756, 7669/6027 quickly i.e. 1265385/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/756, 7669/6027 is 1265385/21.

LCM(165/756, 7669/6027) = 1265385/21

LCM of 165/756, 7669/6027

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 165/756,7669/6027

Given numbers are 165/756,7669/6027

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 165,7669

Least Common Multiple of Numerators i.e. LCM of 165,7669 is 1265385.

GCF of Denominators means GCF of 756,6027 as per the given fractions.

GCF of 756,6027 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,7669

LCM of Fractions 165/756,7669/6027 is 1265385/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 1265385

Least Common Multiple of 165,7669 with GCF Formula

Least Common Multiple of 165,7669 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 165,7669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,7669) = 1

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

GCF(165,7669) x common factors =1 x 1 = 1

LCM(165,7669) = ( 165 × 7669 ) / 1

LCM(165,7669) = 1265385 / 1

LCM(165,7669) = 1265385


Lets's calculate GCF of 756,6027

3 756, 6027
7 252, 2009
36, 287

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1265385/21

Therefore the LCM of Fractions 165/756,7669/6027 is 1265385/21

Greatest Common Factor of 756,6027 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,6027 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 6027

List of positive integer factors of 6027 that divides 6027 without a remainder.

1,3,7,21,41,49,123,147,287,861,2009,6027

Greatest Common Factor

We found the factors 756,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 756,6027 is 21.


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 165/756, 7669/6027

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 165/756, 7669/6027?

Answer: LCM of Numerators as per given numbers 165/756, 7669/6027 is

LCM of Numerators i.e. for 165,7669 is 1265385

GCF of denominators i.e. for 756,6027 is 21.

Thus, LCM of Fractions is 1265385/21.Finally, LCM of Fractions for 165/756, 7669/6027 is 1265385/21.