Least Common Multiple of 382, 380, 789, 570, 720

Q: How to Find the LCM of 382, 380, 789, 570, 720 ?

Least Common Multiple of 382, 380, 789, 570, 720 = 687187440 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, 380, 789, 570, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 191 x 263 = 687187440.

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, 380, 789, 570, 720 i.e. 687187440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 382, 380, 789, 570, 720 is 687187440.

LCM(382, 380, 789, 570, 720) = 687187440

LCM of 382, 380, 789, 570, 720

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

Least Common Multiple of 382, 380, 789, 570, 720 by common division method
Least Common Multiple of 382, 380, 789, 570, 720 with GCF Formula

Least Common Multiple of 382,380,789,570,720

Least Common Multiple (LCM) of 382,380,789,570,720 is 687187440

2	382, 380, 789, 570, 720
2	191, 190, 789, 285, 360
3	191, 95, 789, 285, 180
5	191, 95, 263, 95, 60
19	191, 19, 263, 19, 12
	191, 1, 263, 1, 12

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 191 x 1 x 263 x 1 x 12 = 687187440

Least Common Multiple of 382,380,789,570,720 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 382,380,789,570,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,380,789,570,720) = 1

common factors(in case of two or more numbers have common factors) = 68400

GCF(382,380,789,570,720) x common factors =1 x 68400 = 68400

LCM(382,380,789,570,720) = ( 382 × 380 × 789 × 570 × 720 ) / 68400

LCM(382,380,789,570,720) = 47003620896000 / 68400

LCM(382,380,789,570,720) = 687187440

∴ Least Common Multiple of 382,380,789,570,720 is 687187440

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, 380, 789, 570, 720

1. What is the LCM of 382, 380, 789, 570, 720?

Answer: LCM of 382, 380, 789, 570, 720 is 687187440.

2. What are the Factors of 687187440?

Answer: Factors of 687187440 are . There are integers that are factors of 687187440

3. How to Find the LCM of 382, 380, 789, 570, 720 ?

Least Common Multiple of 382, 380, 789, 570, 720.

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, 380, 789, 570, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 191 x 263 = 687187440.