Least Common Multiple of 305, 728, 900

Q: How to Find the LCM of 305, 728, 900 ?

Least Common Multiple of 305, 728, 900 = 9991800 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(305, 728, 900) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 13 x 61 = 9991800.

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 305, 728, 900 i.e. 9991800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 305, 728, 900 is 9991800.

LCM(305, 728, 900) = 9991800

LCM of 305, 728, 900

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

Least Common Multiple of 305, 728, 900 by common division method
Least Common Multiple of 305, 728, 900 with GCF Formula

Least Common Multiple of 305,728,900

Least Common Multiple (LCM) of 305,728,900 is 9991800

2	305, 728, 900
2	305, 364, 450
5	305, 182, 225
	61, 182, 45

∴ So the LCM of the given numbers is 2 x 2 x 5 x 61 x 182 x 45 = 9991800

Least Common Multiple of 305,728,900 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 305,728,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,728,900) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(305,728,900) x common factors =1 x 20 = 20

LCM(305,728,900) = ( 305 × 728 × 900 ) / 20

LCM(305,728,900) = 199836000 / 20

LCM(305,728,900) = 9991800

∴ Least Common Multiple of 305,728,900 is 9991800

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 305, 728, 900

1. What is the LCM of 305, 728, 900?

Answer: LCM of 305, 728, 900 is 9991800.

2. What are the Factors of 9991800?

Answer: Factors of 9991800 are . There are integers that are factors of 9991800

3. How to Find the LCM of 305, 728, 900 ?

Least Common Multiple of 305, 728, 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(305, 728, 900) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 13 x 61 = 9991800.