Given numbers are 428,212,792,651,287

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

The LCM of 428,212,792,651,287 is 39960270504.

Find LCM of 428,212,792,651,287 with Prime Factorization

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

2 x 2 x 3 x 7 x 107 x 53 x 66 x 31 x 41 = 39960270504

Therefore, the lowest common multiple of 428,212,792,651,287 is 39960270504.

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.

428 x 212 x 792 x 651 x 287 = 13426650889344

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.

428 : 1, 2, 4, 107, 214, 428

212 : 1, 2, 4, 53, 106, 212

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

651 : 1, 3, 7, 21, 31, 93, 217, 651

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,212,792,651,287, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

212:2x 2x 53

792:2x 2x 2x 3x 3x 11

651:3x 7x 31

287:7x 41

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 13426650889344/(1x336)

LCM = 13426650889344/336

LCM = 39960270504

Thus, we can understand that the LCM of 428,212,792,651,287 is 39960270504.

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

• LCM of 235, 764, 680, 438, 242
• LCM of 581, 876, 849, 333, 163
• LCM of 841, 186, 373, 393, 953
• LCM of 539, 805, 549, 511, 677
• LCM of 156, 441, 344, 854, 300

1. What is the LCM of 428, 212, 792, 651, 287?

Answer: LCM of 428, 212, 792, 651, 287 is 39960270504.

2. How to calculate the LCM of 428, 212, 792, 651, 287?

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 428, 212, 792, 651, 287.

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}.