Least Common Multiple of 204, 340, 240

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 204, 340, 240 i.e. 4080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 204, 340, 240 is 4080.

LCM(204, 340, 240) = 4080

LCM of 204, 340, 240

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

LCM of:

Least Common Multiple of 204,340,240

Least Common Multiple (LCM) of 204,340,240 is 4080

2 204, 340, 240
2 102, 170, 120
3 51, 85, 60
5 17, 85, 20
17 17, 17, 4
1, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 1 x 1 x 4 = 4080

Least Common Multiple of 204,340,240 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 204,340,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,340,240) = 4

common factors(in case of two or more numbers have common factors) = 1020

GCF(204,340,240) x common factors =4 x 1020 = 4080

LCM(204,340,240) = ( 204 × 340 × 240 ) / 4080

LCM(204,340,240) = 16646400 / 4080

LCM(204,340,240) = 4080

∴ Least Common Multiple of 204,340,240 is 4080

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 204, 340, 240

1. What is the LCM of 204, 340, 240?

Answer: LCM of 204, 340, 240 is 4080.

2. What are the Factors of 4080?

Answer: Factors of 4080 are . There are integers that are factors of 4080

3. How to Find the LCM of 204, 340, 240 ?

Least Common Multiple of 204, 340, 240.

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(204, 340, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 17 = 4080.