Least Common Multiple of 144, 336, 441

Q: How to Find the LCM of 144, 336, 441 ?

Least Common Multiple of 144, 336, 441 = 7056 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(144, 336, 441) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 7056.

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 144, 336, 441 i.e. 7056 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 336, 441 is 7056.

LCM(144, 336, 441) = 7056

LCM of 144, 336, 441

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

Least Common Multiple of 144, 336, 441 by common division method
Least Common Multiple of 144, 336, 441 with GCF Formula

Least Common Multiple of 144,336,441

Least Common Multiple (LCM) of 144,336,441 is 7056

2	144, 336, 441
2	72, 168, 441
2	36, 84, 441
2	18, 42, 441
3	9, 21, 441
3	3, 7, 147
7	1, 7, 49
	1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 7 x 1 x 1 x 7 = 7056

Least Common Multiple of 144,336,441 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 144,336,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,336,441) = 3

common factors(in case of two or more numbers have common factors) = 1008

GCF(144,336,441) x common factors =3 x 1008 = 3024

LCM(144,336,441) = ( 144 × 336 × 441 ) / 3024

LCM(144,336,441) = 21337344 / 3024

LCM(144,336,441) = 7056

∴ Least Common Multiple of 144,336,441 is 7056

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 144, 336, 441

1. What is the LCM of 144, 336, 441?

Answer: LCM of 144, 336, 441 is 7056.

2. What are the Factors of 7056?

Answer: Factors of 7056 are . There are integers that are factors of 7056

3. How to Find the LCM of 144, 336, 441 ?

Least Common Multiple of 144, 336, 441.

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(144, 336, 441) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 7056.