Least Common Multiple of 81, 20, 45, 238

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 81, 20, 45, 238 i.e. 192780 smallest integer divisible by all numbers.

Least common multiple (LCM) of 81, 20, 45, 238 is 192780.

LCM(81, 20, 45, 238) = 192780

LCM of 81, 20, 45, 238

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

LCM of:

Least Common Multiple of 81,20,45,238

Least Common Multiple (LCM) of 81,20,45,238 is 192780

2 81, 20, 45, 238
3 81, 10, 45, 119
3 27, 10, 15, 119
5 9, 10, 5, 119
9, 2, 1, 119

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 9 x 2 x 1 x 119 = 192780

Least Common Multiple of 81,20,45,238 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 81,20,45,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,20,45,238) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(81,20,45,238) x common factors =1 x 90 = 90

LCM(81,20,45,238) = ( 81 × 20 × 45 × 238 ) / 90

LCM(81,20,45,238) = 17350200 / 90

LCM(81,20,45,238) = 192780

∴ Least Common Multiple of 81,20,45,238 is 192780

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 81, 20, 45, 238

1. What is the LCM of 81, 20, 45, 238?

Answer: LCM of 81, 20, 45, 238 is 192780.

2. What are the Factors of 192780?

Answer: Factors of 192780 are . There are integers that are factors of 192780

3. How to Find the LCM of 81, 20, 45, 238 ?

Least Common Multiple of 81, 20, 45, 238.

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(81, 20, 45, 238) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 17 = 192780.