Least Common Multiple of 165/96, 290/5636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/96, 290/5636 quickly i.e. 9570/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/96, 290/5636 is 9570/4.

LCM(165/96, 290/5636) = 9570/4

LCM of 165/96, 290/5636

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 165/96,290/5636

Given numbers are 165/96,290/5636

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 165,290

Least Common Multiple of Numerators i.e. LCM of 165,290 is 9570.

GCF of Denominators means GCF of 96,5636 as per the given fractions.

GCF of 96,5636 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,290

LCM of Fractions 165/96,290/5636 is 9570/4

5 165, 290
33, 58

∴ So the LCM of the given numbers is 5 x 33 x 58 = 9570

Least Common Multiple of 165,290 with GCF Formula

Least Common Multiple of 165,290 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 165,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,290) = 5

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

GCF(165,290) x common factors =5 x 1 = 5

LCM(165,290) = ( 165 × 290 ) / 5

LCM(165,290) = 47850 / 5

LCM(165,290) = 9570


Lets's calculate GCF of 96,5636

2 96, 5636
2 48, 2818
24, 1409

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9570/4

Therefore the LCM of Fractions 165/96,290/5636 is 9570/4

Greatest Common Factor of 96,5636 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,5636 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors 96,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5636 is 4.


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 165/96, 290/5636

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 165/96, 290/5636?

Answer: LCM of Numerators as per given numbers 165/96, 290/5636 is

LCM of Numerators i.e. for 165,290 is 9570

GCF of denominators i.e. for 96,5636 is 4.

Thus, LCM of Fractions is 9570/4.Finally, LCM of Fractions for 165/96, 290/5636 is 9570/4.