Given numbers are 440,561,349

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 440,561,349 is 7831560.

Find LCM of 440,561,349 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

11 x 40 x 51 x 349 = 7831560

Therefore, the lowest common multiple of 440,561,349 is 7831560.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

440 x 561 x 349 = 86147160

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

561 : 1, 3, 11, 17, 33, 51, 187, 561

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,561,349, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

561:3x 11x 17

349:349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 86147160/(1x11)

LCM = 86147160/11

LCM = 7831560

Thus, we can understand that the LCM of 440,561,349 is 7831560.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 314, 120, 387
• LCM of 223, 685, 841
• LCM of 301, 459, 414
• LCM of 501, 550, 164
• LCM of 348, 228, 383

1. What is the LCM of 440, 561, 349?

Answer: LCM of 440, 561, 349 is 7831560.

2. How to calculate the LCM of 440, 561, 349?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 440, 561, 349.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.