Least Common Multiple of 16, 66, 704, 249

Q: How to Find the LCM of 16, 66, 704, 249 ?

Least Common Multiple of 16, 66, 704, 249 = 175296 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(16, 66, 704, 249) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 83 = 175296.

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 16, 66, 704, 249 i.e. 175296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 66, 704, 249 is 175296.

LCM(16, 66, 704, 249) = 175296

LCM of 16, 66, 704, 249

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

Least Common Multiple of 16, 66, 704, 249 by common division method
Least Common Multiple of 16, 66, 704, 249 with GCF Formula

Least Common Multiple of 16,66,704,249

Least Common Multiple (LCM) of 16,66,704,249 is 175296

2	16, 66, 704, 249
2	8, 33, 352, 249
2	4, 33, 176, 249
2	2, 33, 88, 249
3	1, 33, 44, 249
11	1, 11, 44, 83
	1, 1, 4, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 1 x 1 x 4 x 83 = 175296

Least Common Multiple of 16,66,704,249 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 16,66,704,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,66,704,249) = 1

common factors(in case of two or more numbers have common factors) = 1056

GCF(16,66,704,249) x common factors =1 x 1056 = 1056

LCM(16,66,704,249) = ( 16 × 66 × 704 × 249 ) / 1056

LCM(16,66,704,249) = 185112576 / 1056

LCM(16,66,704,249) = 175296

∴ Least Common Multiple of 16,66,704,249 is 175296

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 16, 66, 704, 249

1. What is the LCM of 16, 66, 704, 249?

Answer: LCM of 16, 66, 704, 249 is 175296.

2. What are the Factors of 175296?

Answer: Factors of 175296 are . There are integers that are factors of 175296

3. How to Find the LCM of 16, 66, 704, 249 ?

Least Common Multiple of 16, 66, 704, 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(16, 66, 704, 249) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 83 = 175296.