Least Common Multiple of 205, 408, 435, 220

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 205, 408, 435, 220 i.e. 26681160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 205, 408, 435, 220 is 26681160.

LCM(205, 408, 435, 220) = 26681160

LCM of 205, 408, 435, 220

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

LCM of:

Least Common Multiple of 205,408,435,220

Least Common Multiple (LCM) of 205,408,435,220 is 26681160

2 205, 408, 435, 220
2 205, 204, 435, 110
3 205, 102, 435, 55
5 205, 34, 145, 55
41, 34, 29, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 41 x 34 x 29 x 11 = 26681160

Least Common Multiple of 205,408,435,220 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 205,408,435,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,408,435,220) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(205,408,435,220) x common factors =1 x 300 = 300

LCM(205,408,435,220) = ( 205 × 408 × 435 × 220 ) / 300

LCM(205,408,435,220) = 8004348000 / 300

LCM(205,408,435,220) = 26681160

∴ Least Common Multiple of 205,408,435,220 is 26681160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 205, 408, 435, 220

1. What is the LCM of 205, 408, 435, 220?

Answer: LCM of 205, 408, 435, 220 is 26681160.

2. What are the Factors of 26681160?

Answer: Factors of 26681160 are . There are integers that are factors of 26681160

3. How to Find the LCM of 205, 408, 435, 220 ?

Least Common Multiple of 205, 408, 435, 220.

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(205, 408, 435, 220) = 2 x 2 x 2 x 3 x 5 x 11 x 17 x 29 x 41 = 26681160.