Least Common Multiple of 816, 765, 414

Q: How to Find the LCM of 816, 765, 414 ?

Least Common Multiple of 816, 765, 414 = 281520 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(816, 765, 414) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 23 = 281520.

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 816, 765, 414 i.e. 281520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 816, 765, 414 is 281520.

LCM(816, 765, 414) = 281520

LCM of 816, 765, 414

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

Least Common Multiple of 816, 765, 414 by common division method
Least Common Multiple of 816, 765, 414 with GCF Formula

Least Common Multiple of 816,765,414

Least Common Multiple (LCM) of 816,765,414 is 281520

2	816, 765, 414
3	408, 765, 207
3	136, 255, 69
17	136, 85, 23
	8, 5, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 8 x 5 x 23 = 281520

Least Common Multiple of 816,765,414 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 816,765,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,765,414) = 3

common factors(in case of two or more numbers have common factors) = 306

GCF(816,765,414) x common factors =3 x 306 = 918

LCM(816,765,414) = ( 816 × 765 × 414 ) / 918

LCM(816,765,414) = 258435360 / 918

LCM(816,765,414) = 281520

∴ Least Common Multiple of 816,765,414 is 281520

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 816, 765, 414

1. What is the LCM of 816, 765, 414?

Answer: LCM of 816, 765, 414 is 281520.

2. What are the Factors of 281520?

Answer: Factors of 281520 are . There are integers that are factors of 281520

3. How to Find the LCM of 816, 765, 414 ?

Least Common Multiple of 816, 765, 414.

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(816, 765, 414) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 23 = 281520.