Least Common Multiple of 282, 384, 900

Q: How to Find the LCM of 282, 384, 900 ?

Least Common Multiple of 282, 384, 900 = 1353600 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(282, 384, 900) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 47 = 1353600.

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 282, 384, 900 i.e. 1353600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 282, 384, 900 is 1353600.

LCM(282, 384, 900) = 1353600

LCM of 282, 384, 900

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

Least Common Multiple of 282, 384, 900 by common division method
Least Common Multiple of 282, 384, 900 with GCF Formula

Least Common Multiple of 282,384,900

Least Common Multiple (LCM) of 282,384,900 is 1353600

2	282, 384, 900
2	141, 192, 450
3	141, 96, 225
	47, 32, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 32 x 75 = 1353600

Least Common Multiple of 282,384,900 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 282,384,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,384,900) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(282,384,900) x common factors =6 x 12 = 72

LCM(282,384,900) = ( 282 × 384 × 900 ) / 72

LCM(282,384,900) = 97459200 / 72

LCM(282,384,900) = 1353600

∴ Least Common Multiple of 282,384,900 is 1353600

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 282, 384, 900

1. What is the LCM of 282, 384, 900?

Answer: LCM of 282, 384, 900 is 1353600.

2. What are the Factors of 1353600?

Answer: Factors of 1353600 are . There are integers that are factors of 1353600

3. How to Find the LCM of 282, 384, 900 ?

Least Common Multiple of 282, 384, 900.

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(282, 384, 900) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 47 = 1353600.