Least Common Multiple of 408, 416, 789

Q: How to Find the LCM of 408, 416, 789 ?

Least Common Multiple of 408, 416, 789 = 5579808 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(408, 416, 789) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 263 = 5579808.

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 408, 416, 789 i.e. 5579808 smallest integer divisible by all numbers.

Least common multiple (LCM) of 408, 416, 789 is 5579808.

LCM(408, 416, 789) = 5579808

LCM of 408, 416, 789

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

Least Common Multiple of 408, 416, 789 by common division method
Least Common Multiple of 408, 416, 789 with GCF Formula

Least Common Multiple of 408,416,789

Least Common Multiple (LCM) of 408,416,789 is 5579808

2	408, 416, 789
2	204, 208, 789
2	102, 104, 789
3	51, 52, 789
	17, 52, 263

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 52 x 263 = 5579808

Least Common Multiple of 408,416,789 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 408,416,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,416,789) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(408,416,789) x common factors =1 x 24 = 24

LCM(408,416,789) = ( 408 × 416 × 789 ) / 24

LCM(408,416,789) = 133915392 / 24

LCM(408,416,789) = 5579808

∴ Least Common Multiple of 408,416,789 is 5579808

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 408, 416, 789

1. What is the LCM of 408, 416, 789?

Answer: LCM of 408, 416, 789 is 5579808.

2. What are the Factors of 5579808?

Answer: Factors of 5579808 are . There are integers that are factors of 5579808

3. How to Find the LCM of 408, 416, 789 ?

Least Common Multiple of 408, 416, 789.

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(408, 416, 789) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 263 = 5579808.