Least Common Multiple of 165/10, 165/76, 260/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/10, 165/76, 260/475 quickly i.e. 8580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/10, 165/76, 260/475 is 8580.

LCM(165/10, 165/76, 260/475) = 8580

LCM of 165/10, 165/76, 260/475

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 165/10,165/76,260/475

Given numbers are 165/10,165/76,260/475

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 165,165,260

Least Common Multiple of Numerators i.e. LCM of 165,165,260 is 8580.

GCF of Denominators means GCF of 10,76,475 as per the given fractions.

GCF of 10,76,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,165,260

LCM of Fractions 165/10,165/76,260/475 is 8580

3 165, 165, 260
5 55, 55, 260
11 11, 11, 52
1, 1, 52

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 1 x 52 = 8580

Least Common Multiple of 165,165,260 with GCF Formula

Least Common Multiple of 165,165,260 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 165,165,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,165,260) = 5

common factors(in case of two or more numbers have common factors) = 165

GCF(165,165,260) x common factors =5 x 165 = 825

LCM(165,165,260) = ( 165 × 165 × 260 ) / 825

LCM(165,165,260) = 7078500 / 825

LCM(165,165,260) = 8580


Lets's calculate GCF of 10,76,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8580/1

Therefore the LCM of Fractions 165/10,165/76,260/475 is 8580

Greatest Common Factor of 10,76,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,76,475 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 76

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

1,2,4,19,38,76

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 10,76,475 . The biggest common factor number is the GCF number.
So the greatest common factor 10,76,475 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 165/10, 165/76, 260/475

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 165/10, 165/76, 260/475?

Answer: LCM of Numerators as per given numbers 165/10, 165/76, 260/475 is

LCM of Numerators i.e. for 165,165,260 is 8580

GCF of denominators i.e. for 10,76,475 is 1.

Thus, LCM of Fractions is 8580.Finally, LCM of Fractions for 165/10, 165/76, 260/475 is 8580.