Least Common Multiple of 1005, 3180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 1005, 3180 i.e. 213060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1005, 3180 is 213060.

LCM(1005, 3180) = 213060

LCM of 1005, 3180

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 1005,3180

Least Common Multiple (LCM) of 1005,3180 is 213060

3 1005, 3180
5 335, 1060
67, 212

∴ So the LCM of the given numbers is 3 x 5 x 67 x 212 = 213060

Least Common Multiple of 1005,3180 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 1005,3180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1005,3180) = 15

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

GCF(1005,3180) x common factors =15 x 1 = 15

LCM(1005,3180) = ( 1005 × 3180 ) / 15

LCM(1005,3180) = 3195900 / 15

LCM(1005,3180) = 213060

∴ Least Common Multiple of 1005,3180 is 213060

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 1005, 3180

1. What is the LCM of 1005, 3180?

Answer: LCM of 1005, 3180 is 213060.

2. What are the Factors of 213060?

Answer: Factors of 213060 are . There are integers that are factors of 213060

3. How to Find the LCM of 1005, 3180 ?

Least Common Multiple of 1005, 3180.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(1005, 3180) = 2 x 2 x 3 x 5 x 53 x 67 = 213060.