Least Common Multiple of 165/82, 120/59, 340/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/82, 120/59, 340/536 quickly i.e. 22440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/82, 120/59, 340/536 is 22440.

LCM(165/82, 120/59, 340/536) = 22440

LCM of 165/82, 120/59, 340/536

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 165/82,120/59,340/536

Given numbers are 165/82,120/59,340/536

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 165,120,340

Least Common Multiple of Numerators i.e. LCM of 165,120,340 is 22440.

GCF of Denominators means GCF of 82,59,536 as per the given fractions.

GCF of 82,59,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,120,340

LCM of Fractions 165/82,120/59,340/536 is 22440

2 165, 120, 340
2 165, 60, 170
3 165, 30, 85
5 55, 10, 85
11, 2, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 2 x 17 = 22440

Least Common Multiple of 165,120,340 with GCF Formula

Least Common Multiple of 165,120,340 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 165,120,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,120,340) = 5

common factors(in case of two or more numbers have common factors) = 60

GCF(165,120,340) x common factors =5 x 60 = 300

LCM(165,120,340) = ( 165 × 120 × 340 ) / 300

LCM(165,120,340) = 6732000 / 300

LCM(165,120,340) = 22440


Lets's calculate GCF of 82,59,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22440/1

Therefore the LCM of Fractions 165/82,120/59,340/536 is 22440

Greatest Common Factor of 82,59,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,59,536 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 82,59,536 . The biggest common factor number is the GCF number.
So the greatest common factor 82,59,536 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 165/82, 120/59, 340/536

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 165/82, 120/59, 340/536?

Answer: LCM of Numerators as per given numbers 165/82, 120/59, 340/536 is

LCM of Numerators i.e. for 165,120,340 is 22440

GCF of denominators i.e. for 82,59,536 is 1.

Thus, LCM of Fractions is 22440.Finally, LCM of Fractions for 165/82, 120/59, 340/536 is 22440.