Least Common Multiple of 234, 816, 442

Q: How to Find the LCM of 234, 816, 442 ?

Least Common Multiple of 234, 816, 442 = 31824 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(234, 816, 442) = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 17 = 31824.

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 234, 816, 442 i.e. 31824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 234, 816, 442 is 31824.

LCM(234, 816, 442) = 31824

LCM of 234, 816, 442

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

Least Common Multiple of 234, 816, 442 by common division method
Least Common Multiple of 234, 816, 442 with GCF Formula

Least Common Multiple of 234,816,442

Least Common Multiple (LCM) of 234,816,442 is 31824

2	234, 816, 442
3	117, 408, 221
13	39, 136, 221
17	3, 136, 17
	3, 8, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 3 x 8 x 1 = 31824

Least Common Multiple of 234,816,442 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 234,816,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,816,442) = 2

common factors(in case of two or more numbers have common factors) = 1326

GCF(234,816,442) x common factors =2 x 1326 = 2652

LCM(234,816,442) = ( 234 × 816 × 442 ) / 2652

LCM(234,816,442) = 84397248 / 2652

LCM(234,816,442) = 31824

∴ Least Common Multiple of 234,816,442 is 31824

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 234, 816, 442

1. What is the LCM of 234, 816, 442?

Answer: LCM of 234, 816, 442 is 31824.

2. What are the Factors of 31824?

Answer: Factors of 31824 are . There are integers that are factors of 31824

3. How to Find the LCM of 234, 816, 442 ?

Least Common Multiple of 234, 816, 442.

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(234, 816, 442) = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 17 = 31824.