Least Common Multiple of 384, 800, 735

Q: How to Find the LCM of 384, 800, 735 ?

Least Common Multiple of 384, 800, 735 = 470400 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(384, 800, 735) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 = 470400.

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 384, 800, 735 i.e. 470400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 800, 735 is 470400.

LCM(384, 800, 735) = 470400

LCM of 384, 800, 735

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

Least Common Multiple of 384, 800, 735 by common division method
Least Common Multiple of 384, 800, 735 with GCF Formula

Least Common Multiple of 384,800,735

Least Common Multiple (LCM) of 384,800,735 is 470400

2	384, 800, 735
2	192, 400, 735
2	96, 200, 735
2	48, 100, 735
2	24, 50, 735
3	12, 25, 735
5	4, 25, 245
	4, 5, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 4 x 5 x 49 = 470400

Least Common Multiple of 384,800,735 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 384,800,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,800,735) = 1

common factors(in case of two or more numbers have common factors) = 480

GCF(384,800,735) x common factors =1 x 480 = 480

LCM(384,800,735) = ( 384 × 800 × 735 ) / 480

LCM(384,800,735) = 225792000 / 480

LCM(384,800,735) = 470400

∴ Least Common Multiple of 384,800,735 is 470400

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 384, 800, 735

1. What is the LCM of 384, 800, 735?

Answer: LCM of 384, 800, 735 is 470400.

2. What are the Factors of 470400?

Answer: Factors of 470400 are . There are integers that are factors of 470400

3. How to Find the LCM of 384, 800, 735 ?

Least Common Multiple of 384, 800, 735.

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(384, 800, 735) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 = 470400.