Least Common Multiple of 16, 96, 12, 506

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, 96, 12, 506 i.e. 24288 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 96, 12, 506 is 24288.

LCM(16, 96, 12, 506) = 24288

LCM of 16, 96, 12, 506

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

LCM of:

Least Common Multiple of 16,96,12,506

Least Common Multiple (LCM) of 16,96,12,506 is 24288

2 16, 96, 12, 506
2 8, 48, 6, 253
2 4, 24, 3, 253
2 2, 12, 3, 253
3 1, 6, 3, 253
1, 2, 1, 253

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 2 x 1 x 253 = 24288

Least Common Multiple of 16,96,12,506 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,96,12,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,96,12,506) = 2

common factors(in case of two or more numbers have common factors) = 192

GCF(16,96,12,506) x common factors =2 x 192 = 384

LCM(16,96,12,506) = ( 16 × 96 × 12 × 506 ) / 384

LCM(16,96,12,506) = 9326592 / 384

LCM(16,96,12,506) = 24288

∴ Least Common Multiple of 16,96,12,506 is 24288

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 16, 96, 12, 506

1. What is the LCM of 16, 96, 12, 506?

Answer: LCM of 16, 96, 12, 506 is 24288.

2. What are the Factors of 24288?

Answer: Factors of 24288 are . There are integers that are factors of 24288

3. How to Find the LCM of 16, 96, 12, 506 ?

Least Common Multiple of 16, 96, 12, 506.

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, 96, 12, 506) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 23 = 24288.