Least Common Multiple of 395, 800, 474

Q: How to Find the LCM of 395, 800, 474 ?

Least Common Multiple of 395, 800, 474 = 189600 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(395, 800, 474) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 79 = 189600.

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 395, 800, 474 i.e. 189600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 395, 800, 474 is 189600.

LCM(395, 800, 474) = 189600

LCM of 395, 800, 474

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

Least Common Multiple of 395, 800, 474 by common division method
Least Common Multiple of 395, 800, 474 with GCF Formula

Least Common Multiple of 395,800,474

Least Common Multiple (LCM) of 395,800,474 is 189600

2	395, 800, 474
5	395, 400, 237
79	79, 80, 237
	1, 80, 3

∴ So the LCM of the given numbers is 2 x 5 x 79 x 1 x 80 x 3 = 189600

Least Common Multiple of 395,800,474 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 395,800,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,800,474) = 1

common factors(in case of two or more numbers have common factors) = 790

GCF(395,800,474) x common factors =1 x 790 = 790

LCM(395,800,474) = ( 395 × 800 × 474 ) / 790

LCM(395,800,474) = 149784000 / 790

LCM(395,800,474) = 189600

∴ Least Common Multiple of 395,800,474 is 189600

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 395, 800, 474

1. What is the LCM of 395, 800, 474?

Answer: LCM of 395, 800, 474 is 189600.

2. What are the Factors of 189600?

Answer: Factors of 189600 are . There are integers that are factors of 189600

3. How to Find the LCM of 395, 800, 474 ?

Least Common Multiple of 395, 800, 474.

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(395, 800, 474) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 79 = 189600.