Least Common Multiple of 768, 384, 300

Q: How to Find the LCM of 768, 384, 300 ?

Least Common Multiple of 768, 384, 300 = 19200 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(768, 384, 300) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 19200.

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 768, 384, 300 i.e. 19200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 384, 300 is 19200.

LCM(768, 384, 300) = 19200

LCM of 768, 384, 300

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

Least Common Multiple of 768, 384, 300 by common division method
Least Common Multiple of 768, 384, 300 with GCF Formula

Least Common Multiple of 768,384,300

Least Common Multiple (LCM) of 768,384,300 is 19200

2	768, 384, 300
2	384, 192, 150
2	96, 192, 75
2	48, 96, 75
2	24, 48, 75
2	12, 24, 75
2	6, 12, 75
3	3, 6, 75
	1, 2, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 2 x 25 = 19200

Least Common Multiple of 768,384,300 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 768,384,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,384,300) = 12

common factors(in case of two or more numbers have common factors) = 384

GCF(768,384,300) x common factors =12 x 384 = 4608

LCM(768,384,300) = ( 768 × 384 × 300 ) / 4608

LCM(768,384,300) = 88473600 / 4608

LCM(768,384,300) = 19200

∴ Least Common Multiple of 768,384,300 is 19200

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 768, 384, 300

1. What is the LCM of 768, 384, 300?

Answer: LCM of 768, 384, 300 is 19200.

2. What are the Factors of 19200?

Answer: Factors of 19200 are . There are integers that are factors of 19200

3. How to Find the LCM of 768, 384, 300 ?

Least Common Multiple of 768, 384, 300.

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(768, 384, 300) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 19200.