Least Common Multiple of 82, 81, 90, 105

Q: How to Find the LCM of 82, 81, 90, 105 ?

Least Common Multiple of 82, 81, 90, 105 = 232470 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(82, 81, 90, 105) = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 41 = 232470.

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 82, 81, 90, 105 i.e. 232470 smallest integer divisible by all numbers.

Least common multiple (LCM) of 82, 81, 90, 105 is 232470.

LCM(82, 81, 90, 105) = 232470

LCM of 82, 81, 90, 105

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

Least Common Multiple of 82, 81, 90, 105 by common division method
Least Common Multiple of 82, 81, 90, 105 with GCF Formula

Least Common Multiple of 82,81,90,105

Least Common Multiple (LCM) of 82,81,90,105 is 232470

2	82, 81, 90, 105
3	41, 81, 45, 105
3	41, 27, 15, 35
5	41, 9, 5, 35
	41, 9, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 41 x 9 x 1 x 7 = 232470

Least Common Multiple of 82,81,90,105 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,81,90,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,81,90,105) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(82,81,90,105) x common factors =1 x 270 = 270

LCM(82,81,90,105) = ( 82 × 81 × 90 × 105 ) / 270

LCM(82,81,90,105) = 62766900 / 270

LCM(82,81,90,105) = 232470

∴ Least Common Multiple of 82,81,90,105 is 232470

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 82, 81, 90, 105

1. What is the LCM of 82, 81, 90, 105?

Answer: LCM of 82, 81, 90, 105 is 232470.

2. What are the Factors of 232470?

Answer: Factors of 232470 are . There are integers that are factors of 232470

3. How to Find the LCM of 82, 81, 90, 105 ?

Least Common Multiple of 82, 81, 90, 105.

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(82, 81, 90, 105) = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 41 = 232470.