Given numbers are 631,450,480,291,435

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

The LCM of 631,450,480,291,435 is 12780021600.

Find LCM of 631,450,480,291,435 with Prime Factorization

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

2 x 3 x 5 x 631 x 15 x 16 x 97 x 29 = 12780021600

Therefore, the lowest common multiple of 631,450,480,291,435 is 12780021600.

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.

631 x 450 x 480 x 291 x 435 = 17253029160000

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.

631 : 1, 631

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

291 : 1, 3, 97, 291

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,450,480,291,435, is 1.

Now, the common factors can be found like this.

631:631

450:2x 3x 3x 5x 5

480:2x 2x 2x 2x 2x 3x 5

291:3x 97

435:3x 5x 29

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 17253029160000/(1x1350)

LCM = 17253029160000/1350

LCM = 12780021600

Thus, we can understand that the LCM of 631,450,480,291,435 is 12780021600.

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

• LCM of 512, 938, 432, 130, 758
• LCM of 703, 301, 254, 632, 342
• LCM of 749, 863, 155, 934, 267
• LCM of 285, 695, 903, 874, 983
• LCM of 570, 788, 907, 733, 403

1. What is the LCM of 631, 450, 480, 291, 435?

Answer: LCM of 631, 450, 480, 291, 435 is 12780021600.

2. How to calculate the LCM of 631, 450, 480, 291, 435?

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 631, 450, 480, 291, 435.

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}.