Least Common Multiple of 3270/522, 6165/1848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3270/522, 6165/1848 quickly i.e. 223995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3270/522, 6165/1848 is 223995.

LCM(3270/522, 6165/1848) = 223995

LCM of 3270/522, 6165/1848

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 3270/522,6165/1848

Given numbers are 3270/522,6165/1848

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 3270,6165

Least Common Multiple of Numerators i.e. LCM of 3270,6165 is 1343970.

GCF of Denominators means GCF of 522,1848 as per the given fractions.

GCF of 522,1848 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3270,6165

LCM of Fractions 3270/522,6165/1848 is 223995

3 3270, 6165
5 1090, 2055
218, 411

∴ So the LCM of the given numbers is 3 x 5 x 218 x 411 = 1343970

Least Common Multiple of 3270,6165 with GCF Formula

Least Common Multiple of 3270,6165 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 3270,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3270,6165) = 15

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

GCF(3270,6165) x common factors =15 x 1 = 15

LCM(3270,6165) = ( 3270 × 6165 ) / 15

LCM(3270,6165) = 20159550 / 15

LCM(3270,6165) = 1343970


Lets's calculate GCF of 522,1848

2 522, 1848
3 261, 924
87, 308

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1343970/6

Therefore the LCM of Fractions 3270/522,6165/1848 is 223995

Greatest Common Factor of 522,1848 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,1848 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848

Greatest Common Factor

We found the factors 522,1848 . The biggest common factor number is the GCF number.
So the greatest common factor 522,1848 is 6.


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 3270/522, 6165/1848

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 3270/522, 6165/1848?

Answer: LCM of Numerators as per given numbers 3270/522, 6165/1848 is

LCM of Numerators i.e. for 3270,6165 is 1343970

GCF of denominators i.e. for 522,1848 is 6.

Thus, LCM of Fractions is 223995.Finally, LCM of Fractions for 3270/522, 6165/1848 is 223995.