Least Common Multiple of 2165/271, 3375/3162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2165/271, 3375/3162 quickly i.e. 1461375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2165/271, 3375/3162 is 1461375.

LCM(2165/271, 3375/3162) = 1461375

LCM of 2165/271, 3375/3162

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 2165/271,3375/3162

Given numbers are 2165/271,3375/3162

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 2165,3375

Least Common Multiple of Numerators i.e. LCM of 2165,3375 is 1461375.

GCF of Denominators means GCF of 271,3162 as per the given fractions.

GCF of 271,3162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2165,3375

LCM of Fractions 2165/271,3375/3162 is 1461375

5 2165, 3375
433, 675

∴ So the LCM of the given numbers is 5 x 433 x 675 = 1461375

Least Common Multiple of 2165,3375 with GCF Formula

Least Common Multiple of 2165,3375 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 2165,3375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2165,3375) = 5

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

GCF(2165,3375) x common factors =5 x 1 = 5

LCM(2165,3375) = ( 2165 × 3375 ) / 5

LCM(2165,3375) = 7306875 / 5

LCM(2165,3375) = 1461375


Lets's calculate GCF of 271,3162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1461375/1

Therefore the LCM of Fractions 2165/271,3375/3162 is 1461375

Greatest Common Factor of 271,3162 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,3162 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Greatest Common Factor

We found the factors 271,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 271,3162 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 2165/271, 3375/3162

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 2165/271, 3375/3162?

Answer: LCM of Numerators as per given numbers 2165/271, 3375/3162 is

LCM of Numerators i.e. for 2165,3375 is 1461375

GCF of denominators i.e. for 271,3162 is 1.

Thus, LCM of Fractions is 1461375.Finally, LCM of Fractions for 2165/271, 3375/3162 is 1461375.