Given numbers are 470,416,752,284,828

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

The LCM of 470,416,752,284,828 is 1436778720.

Find LCM of 470,416,752,284,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 47 x 5 x 26 x 1 x 71 x 207 = 1436778720

Therefore, the lowest common multiple of 470,416,752,284,828 is 1436778720.

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.

470 x 416 x 752 x 284 x 828 = 34574643118080

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

284 : 1, 2, 4, 71, 142, 284

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,416,752,284,828, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

416:2x 2x 2x 2x 2x 13

752:2x 2x 2x 2x 47

284:2x 2x 71

828:2x 2x 3x 3x 23

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

2x 2x 2x 2x 2x 2x 2x 2x 47 = 12032

Therefore, the value for common factors is 12032.

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 = 34574643118080/(2x12032)

LCM = 34574643118080/24064

LCM = 1436778720

Thus, we can understand that the LCM of 470,416,752,284,828 is 1436778720.

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

• LCM of 263, 565, 294, 726, 118
• LCM of 480, 393, 884, 714, 346
• LCM of 795, 947, 663, 690, 206
• LCM of 890, 421, 418, 824, 660
• LCM of 444, 605, 436, 807, 239

1. What is the LCM of 470, 416, 752, 284, 828?

Answer: LCM of 470, 416, 752, 284, 828 is 1436778720.

2. How to calculate the LCM of 470, 416, 752, 284, 828?

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 470, 416, 752, 284, 828.

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}.