Least Common Multiple of 666/99, 765/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 666/99, 765/143 quickly i.e. 56610/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/99, 765/143 is 56610/11.

LCM(666/99, 765/143) = 56610/11

LCM of 666/99, 765/143

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 666/99,765/143

Given numbers are 666/99,765/143

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 666,765

Least Common Multiple of Numerators i.e. LCM of 666,765 is 56610.

GCF of Denominators means GCF of 99,143 as per the given fractions.

GCF of 99,143 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,765

LCM of Fractions 666/99,765/143 is 56610/11

3 666, 765
3 222, 255
74, 85

∴ So the LCM of the given numbers is 3 x 3 x 74 x 85 = 56610

Least Common Multiple of 666,765 with GCF Formula

Least Common Multiple of 666,765 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 666,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,765) = 9

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

GCF(666,765) x common factors =9 x 1 = 9

LCM(666,765) = ( 666 × 765 ) / 9

LCM(666,765) = 509490 / 9

LCM(666,765) = 56610


Lets's calculate GCF of 99,143

11 99, 143
9, 13

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56610/11

Therefore the LCM of Fractions 666/99,765/143 is 56610/11

Greatest Common Factor of 99,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,143 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 99,143 . The biggest common factor number is the GCF number.
So the greatest common factor 99,143 is 11.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 666/99, 765/143

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 666/99, 765/143?

Answer: LCM of Numerators as per given numbers 666/99, 765/143 is

LCM of Numerators i.e. for 666,765 is 56610

GCF of denominators i.e. for 99,143 is 11.

Thus, LCM of Fractions is 56610/11.Finally, LCM of Fractions for 666/99, 765/143 is 56610/11.