Least Common Multiple of 221, 144, 150, 782

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 221, 144, 150, 782 i.e. 18298800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 221, 144, 150, 782 is 18298800.

LCM(221, 144, 150, 782) = 18298800

LCM of 221, 144, 150, 782

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

LCM of:

Least Common Multiple of 221,144,150,782

Least Common Multiple (LCM) of 221,144,150,782 is 18298800

2 221, 144, 150, 782
3 221, 72, 75, 391
17 221, 24, 25, 391
13, 24, 25, 23

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 24 x 25 x 23 = 18298800

Least Common Multiple of 221,144,150,782 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 221,144,150,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,144,150,782) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(221,144,150,782) x common factors =1 x 204 = 204

LCM(221,144,150,782) = ( 221 × 144 × 150 × 782 ) / 204

LCM(221,144,150,782) = 3732955200 / 204

LCM(221,144,150,782) = 18298800

∴ Least Common Multiple of 221,144,150,782 is 18298800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 221, 144, 150, 782

1. What is the LCM of 221, 144, 150, 782?

Answer: LCM of 221, 144, 150, 782 is 18298800.

2. What are the Factors of 18298800?

Answer: Factors of 18298800 are . There are integers that are factors of 18298800

3. How to Find the LCM of 221, 144, 150, 782 ?

Least Common Multiple of 221, 144, 150, 782.

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(221, 144, 150, 782) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 17 x 23 = 18298800.