Least Common Multiple of 165/72, 498/1707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/72, 498/1707 quickly i.e. 9130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/72, 498/1707 is 9130.

LCM(165/72, 498/1707) = 9130

LCM of 165/72, 498/1707

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 165/72,498/1707

Given numbers are 165/72,498/1707

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 165,498

Least Common Multiple of Numerators i.e. LCM of 165,498 is 27390.

GCF of Denominators means GCF of 72,1707 as per the given fractions.

GCF of 72,1707 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,498

LCM of Fractions 165/72,498/1707 is 9130

3 165, 498
55, 166

∴ So the LCM of the given numbers is 3 x 55 x 166 = 27390

Least Common Multiple of 165,498 with GCF Formula

Least Common Multiple of 165,498 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 165,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,498) = 3

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

GCF(165,498) x common factors =3 x 1 = 3

LCM(165,498) = ( 165 × 498 ) / 3

LCM(165,498) = 82170 / 3

LCM(165,498) = 27390


Lets's calculate GCF of 72,1707

3 72, 1707
24, 569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27390/3

Therefore the LCM of Fractions 165/72,498/1707 is 9130

Greatest Common Factor of 72,1707 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,1707 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 1707

List of positive integer factors of 1707 that divides 1707 without a remainder.

1,3,569,1707

Greatest Common Factor

We found the factors 72,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 72,1707 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 165/72, 498/1707

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 165/72, 498/1707?

Answer: LCM of Numerators as per given numbers 165/72, 498/1707 is

LCM of Numerators i.e. for 165,498 is 27390

GCF of denominators i.e. for 72,1707 is 3.

Thus, LCM of Fractions is 9130.Finally, LCM of Fractions for 165/72, 498/1707 is 9130.