Least Common Multiple of 424, 802, 450, 144, 566

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 424, 802, 450, 144, 566 i.e. 21652556400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 424, 802, 450, 144, 566 is 21652556400.

LCM(424, 802, 450, 144, 566) = 21652556400

LCM of 424, 802, 450, 144, 566

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

LCM of:

Least Common Multiple of 424,802,450,144,566

Least Common Multiple (LCM) of 424,802,450,144,566 is 21652556400

2 424, 802, 450, 144, 566
2 212, 401, 225, 72, 283
2 106, 401, 225, 36, 283
3 53, 401, 225, 18, 283
3 53, 401, 75, 6, 283
53, 401, 25, 2, 283

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 53 x 401 x 25 x 2 x 283 = 21652556400

Least Common Multiple of 424,802,450,144,566 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 424,802,450,144,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,802,450,144,566) = 2

common factors(in case of two or more numbers have common factors) = 288

GCF(424,802,450,144,566) x common factors =2 x 288 = 576

LCM(424,802,450,144,566) = ( 424 × 802 × 450 × 144 × 566 ) / 576

LCM(424,802,450,144,566) = 12471872486400 / 576

LCM(424,802,450,144,566) = 21652556400

∴ Least Common Multiple of 424,802,450,144,566 is 21652556400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 424, 802, 450, 144, 566

1. What is the LCM of 424, 802, 450, 144, 566?

Answer: LCM of 424, 802, 450, 144, 566 is 21652556400.

2. What are the Factors of 21652556400?

Answer: Factors of 21652556400 are . There are integers that are factors of 21652556400

3. How to Find the LCM of 424, 802, 450, 144, 566 ?

Least Common Multiple of 424, 802, 450, 144, 566.

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(424, 802, 450, 144, 566) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 53 x 283 x 401 = 21652556400.