Least Common Multiple of 816, 528, 249

Q: How to Find the LCM of 816, 528, 249 ?

Least Common Multiple of 816, 528, 249 = 745008 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, 528, 249) = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 83 = 745008.

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, 528, 249 i.e. 745008 smallest integer divisible by all numbers.

Least common multiple (LCM) of 816, 528, 249 is 745008.

LCM(816, 528, 249) = 745008

LCM of 816, 528, 249

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

Least Common Multiple of 816, 528, 249 by common division method
Least Common Multiple of 816, 528, 249 with GCF Formula

Least Common Multiple of 816,528,249

Least Common Multiple (LCM) of 816,528,249 is 745008

2	816, 528, 249
2	408, 264, 249
2	204, 132, 249
2	102, 66, 249
3	51, 33, 249
	17, 11, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 11 x 83 = 745008

Least Common Multiple of 816,528,249 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 816,528,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,528,249) = 3

common factors(in case of two or more numbers have common factors) = 48

GCF(816,528,249) x common factors =3 x 48 = 144

LCM(816,528,249) = ( 816 × 528 × 249 ) / 144

LCM(816,528,249) = 107281152 / 144

LCM(816,528,249) = 745008

∴ Least Common Multiple of 816,528,249 is 745008

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, 528, 249

1. What is the LCM of 816, 528, 249?

Answer: LCM of 816, 528, 249 is 745008.

2. What are the Factors of 745008?

Answer: Factors of 745008 are . There are integers that are factors of 745008

3. How to Find the LCM of 816, 528, 249 ?

Least Common Multiple of 816, 528, 249.

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, 528, 249) = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 83 = 745008.