Least Common Multiple of 741/66, 669/66, 849/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/66, 669/66, 849/999 quickly i.e. 15587923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/66, 669/66, 849/999 is 15587923.

LCM(741/66, 669/66, 849/999) = 15587923

LCM of 741/66, 669/66, 849/999

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 741/66,669/66,849/999

Given numbers are 741/66,669/66,849/999

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 741,669,849

Least Common Multiple of Numerators i.e. LCM of 741,669,849 is 46763769.

GCF of Denominators means GCF of 66,66,999 as per the given fractions.

GCF of 66,66,999 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,669,849

LCM of Fractions 741/66,669/66,849/999 is 15587923

3 741, 669, 849
247, 223, 283

∴ So the LCM of the given numbers is 3 x 247 x 223 x 283 = 46763769

Least Common Multiple of 741,669,849 with GCF Formula

Least Common Multiple of 741,669,849 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 741,669,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,669,849) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(741,669,849) x common factors =3 x 3 = 9

LCM(741,669,849) = ( 741 × 669 × 849 ) / 9

LCM(741,669,849) = 420873921 / 9

LCM(741,669,849) = 46763769


Lets's calculate GCF of 66,66,999

3 66, 66, 999
22, 22, 333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46763769/3

Therefore the LCM of Fractions 741/66,669/66,849/999 is 15587923

Greatest Common Factor of 66,66,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,66,999 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 66,66,999 . The biggest common factor number is the GCF number.
So the greatest common factor 66,66,999 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 741/66, 669/66, 849/999

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 741/66, 669/66, 849/999?

Answer: LCM of Numerators as per given numbers 741/66, 669/66, 849/999 is

LCM of Numerators i.e. for 741,669,849 is 46763769

GCF of denominators i.e. for 66,66,999 is 3.

Thus, LCM of Fractions is 15587923.Finally, LCM of Fractions for 741/66, 669/66, 849/999 is 15587923.