Least Common Multiple of 165/51, 867/81, 579/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/51, 867/81, 579/76 quickly i.e. 9203205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/51, 867/81, 579/76 is 9203205.

LCM(165/51, 867/81, 579/76) = 9203205

LCM of 165/51, 867/81, 579/76

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 165/51,867/81,579/76

Given numbers are 165/51,867/81,579/76

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 165,867,579

Least Common Multiple of Numerators i.e. LCM of 165,867,579 is 9203205.

GCF of Denominators means GCF of 51,81,76 as per the given fractions.

GCF of 51,81,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,867,579

LCM of Fractions 165/51,867/81,579/76 is 9203205

3 165, 867, 579
55, 289, 193

∴ So the LCM of the given numbers is 3 x 55 x 289 x 193 = 9203205

Least Common Multiple of 165,867,579 with GCF Formula

Least Common Multiple of 165,867,579 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 165,867,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,867,579) = 3

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

GCF(165,867,579) x common factors =3 x 3 = 9

LCM(165,867,579) = ( 165 × 867 × 579 ) / 9

LCM(165,867,579) = 82828845 / 9

LCM(165,867,579) = 9203205


Lets's calculate GCF of 51,81,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9203205/1

Therefore the LCM of Fractions 165/51,867/81,579/76 is 9203205

Greatest Common Factor of 51,81,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,81,76 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 51,81,76 . The biggest common factor number is the GCF number.
So the greatest common factor 51,81,76 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 165/51, 867/81, 579/76

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 165/51, 867/81, 579/76?

Answer: LCM of Numerators as per given numbers 165/51, 867/81, 579/76 is

LCM of Numerators i.e. for 165,867,579 is 9203205

GCF of denominators i.e. for 51,81,76 is 1.

Thus, LCM of Fractions is 9203205.Finally, LCM of Fractions for 165/51, 867/81, 579/76 is 9203205.