Least Common Multiple of 69/804, 66/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/804, 66/564 quickly i.e. 1518/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/804, 66/564 is 1518/12.

LCM(69/804, 66/564) = 1518/12

LCM of 69/804, 66/564

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 69/804,66/564

Given numbers are 69/804,66/564

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 69,66

Least Common Multiple of Numerators i.e. LCM of 69,66 is 1518.

GCF of Denominators means GCF of 804,564 as per the given fractions.

GCF of 804,564 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,66

LCM of Fractions 69/804,66/564 is 1518/12

3 69, 66
23, 22

∴ So the LCM of the given numbers is 3 x 23 x 22 = 1518

Least Common Multiple of 69,66 with GCF Formula

Least Common Multiple of 69,66 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 69,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,66) = 3

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

GCF(69,66) x common factors =3 x 1 = 3

LCM(69,66) = ( 69 × 66 ) / 3

LCM(69,66) = 4554 / 3

LCM(69,66) = 1518


Lets's calculate GCF of 804,564

2 804, 564
2 402, 282
3 201, 141
67, 47

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1518/12

Therefore the LCM of Fractions 69/804,66/564 is 1518/12

Greatest Common Factor of 804,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,564 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 804,564 . The biggest common factor number is the GCF number.
So the greatest common factor 804,564 is 12.


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 69/804, 66/564

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 69/804, 66/564?

Answer: LCM of Numerators as per given numbers 69/804, 66/564 is

LCM of Numerators i.e. for 69,66 is 1518

GCF of denominators i.e. for 804,564 is 12.

Thus, LCM of Fractions is 1518/12.Finally, LCM of Fractions for 69/804, 66/564 is 1518/12.