Least Common Multiple of 165/82, 336/5614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/82, 336/5614 quickly i.e. 9240 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, 336/5614 is 9240.

LCM(165/82, 336/5614) = 9240

LCM of 165/82, 336/5614

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 165/82,336/5614

Given numbers are 165/82,336/5614

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 165,336

Least Common Multiple of Numerators i.e. LCM of 165,336 is 18480.

GCF of Denominators means GCF of 82,5614 as per the given fractions.

GCF of 82,5614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,336

LCM of Fractions 165/82,336/5614 is 9240

3 165, 336
55, 112

∴ So the LCM of the given numbers is 3 x 55 x 112 = 18480

Least Common Multiple of 165,336 with GCF Formula

Least Common Multiple of 165,336 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 165,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,336) = 3

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

GCF(165,336) x common factors =3 x 1 = 3

LCM(165,336) = ( 165 × 336 ) / 3

LCM(165,336) = 55440 / 3

LCM(165,336) = 18480


Lets's calculate GCF of 82,5614

2 82, 5614
41, 2807

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/2

Therefore the LCM of Fractions 165/82,336/5614 is 9240

Greatest Common Factor of 82,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,5614 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 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 82,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 82,5614 is 2.


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, 336/5614

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, 336/5614?

Answer: LCM of Numerators as per given numbers 165/82, 336/5614 is

LCM of Numerators i.e. for 165,336 is 18480

GCF of denominators i.e. for 82,5614 is 2.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 165/82, 336/5614 is 9240.