Least Common Multiple of 704, 384, 567

Q: How to Find the LCM of 704, 384, 567 ?

Least Common Multiple of 704, 384, 567 = 798336 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(704, 384, 567) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 = 798336.

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 704, 384, 567 i.e. 798336 smallest integer divisible by all numbers.

Least common multiple (LCM) of 704, 384, 567 is 798336.

LCM(704, 384, 567) = 798336

LCM of 704, 384, 567

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

Least Common Multiple of 704, 384, 567 by common division method
Least Common Multiple of 704, 384, 567 with GCF Formula

Least Common Multiple of 704,384,567

Least Common Multiple (LCM) of 704,384,567 is 798336

2	704, 384, 567
2	352, 192, 567
2	176, 96, 567
2	88, 48, 567
2	44, 24, 567
2	22, 12, 567
3	11, 6, 567
	11, 2, 189

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 2 x 189 = 798336

Least Common Multiple of 704,384,567 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 704,384,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,384,567) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(704,384,567) x common factors =1 x 192 = 192

LCM(704,384,567) = ( 704 × 384 × 567 ) / 192

LCM(704,384,567) = 153280512 / 192

LCM(704,384,567) = 798336

∴ Least Common Multiple of 704,384,567 is 798336

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 704, 384, 567

1. What is the LCM of 704, 384, 567?

Answer: LCM of 704, 384, 567 is 798336.

2. What are the Factors of 798336?

Answer: Factors of 798336 are . There are integers that are factors of 798336

3. How to Find the LCM of 704, 384, 567 ?

Least Common Multiple of 704, 384, 567.

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(704, 384, 567) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 = 798336.