Least Common Multiple of 3408, 4224

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 3408, 4224 i.e. 299904 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3408, 4224 is 299904.

LCM(3408, 4224) = 299904

LCM of 3408, 4224

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

LCM of:

Least Common Multiple of 3408,4224

Least Common Multiple (LCM) of 3408,4224 is 299904

2 3408, 4224
2 1704, 2112
2 852, 1056
2 426, 528
3 213, 264
71, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 71 x 88 = 299904

Least Common Multiple of 3408,4224 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 3408,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3408,4224) = 48

common factors(in case of two or more numbers have common factors) = 1

GCF(3408,4224) x common factors =48 x 1 = 48

LCM(3408,4224) = ( 3408 × 4224 ) / 48

LCM(3408,4224) = 14395392 / 48

LCM(3408,4224) = 299904

∴ Least Common Multiple of 3408,4224 is 299904

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 3408, 4224

1. What is the LCM of 3408, 4224?

Answer: LCM of 3408, 4224 is 299904.

2. What are the Factors of 299904?

Answer: Factors of 299904 are . There are integers that are factors of 299904

3. How to Find the LCM of 3408, 4224 ?

Least Common Multiple of 3408, 4224.

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(3408, 4224) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 71 = 299904.