Least Common Multiple of 382, 716, 414, 204, 402

Q: How to Find the LCM of 382, 716, 414, 204, 402 ?

Least Common Multiple of 382, 716, 414, 204, 402 = 32243372388 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(382, 716, 414, 204, 402) = 2 x 2 x 3 x 3 x 17 x 23 x 67 x 179 x 191 = 32243372388.

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 382, 716, 414, 204, 402 i.e. 32243372388 smallest integer divisible by all numbers.

Least common multiple (LCM) of 382, 716, 414, 204, 402 is 32243372388.

LCM(382, 716, 414, 204, 402) = 32243372388

LCM of 382, 716, 414, 204, 402

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

Least Common Multiple of 382, 716, 414, 204, 402 by common division method
Least Common Multiple of 382, 716, 414, 204, 402 with GCF Formula

Least Common Multiple of 382,716,414,204,402

Least Common Multiple (LCM) of 382,716,414,204,402 is 32243372388

2	382, 716, 414, 204, 402
2	191, 358, 207, 102, 201
3	191, 179, 207, 51, 201
	191, 179, 69, 17, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 191 x 179 x 69 x 17 x 67 = 32243372388

Least Common Multiple of 382,716,414,204,402 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 382,716,414,204,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,716,414,204,402) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(382,716,414,204,402) x common factors =2 x 144 = 288

LCM(382,716,414,204,402) = ( 382 × 716 × 414 × 204 × 402 ) / 288

LCM(382,716,414,204,402) = 9286091247744 / 288

LCM(382,716,414,204,402) = 32243372388

∴ Least Common Multiple of 382,716,414,204,402 is 32243372388

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 382, 716, 414, 204, 402

1. What is the LCM of 382, 716, 414, 204, 402?

Answer: LCM of 382, 716, 414, 204, 402 is 32243372388.

2. What are the Factors of 32243372388?

Answer: Factors of 32243372388 are . There are integers that are factors of 32243372388

3. How to Find the LCM of 382, 716, 414, 204, 402 ?

Least Common Multiple of 382, 716, 414, 204, 402.

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(382, 716, 414, 204, 402) = 2 x 2 x 3 x 3 x 17 x 23 x 67 x 179 x 191 = 32243372388.