Given numbers are 402,392,264,963,468

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

The LCM of 402,392,264,963,468 is 3616789176.

Find LCM of 402,392,264,963,468 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 67 x 49 x 11 x 107 x 13 = 3616789176

Therefore, the lowest common multiple of 402,392,264,963,468 is 3616789176.

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.

402 x 392 x 264 x 963 x 468 = 18749435088384

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

963 : 1, 3, 9, 107, 321, 963

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,392,264,963,468, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

392:2x 2x 2x 7x 7

264:2x 2x 2x 3x 11

963:3x 3x 107

468:2x 2x 3x 3x 13

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 18749435088384/(1x5184)

LCM = 18749435088384/5184

LCM = 3616789176

Thus, we can understand that the LCM of 402,392,264,963,468 is 3616789176.

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

• LCM of 323, 444, 868, 646, 970
• LCM of 560, 170, 305, 889, 611
• LCM of 105, 650, 641, 287, 405
• LCM of 426, 856, 423, 593, 251
• LCM of 611, 565, 325, 826, 883

1. What is the LCM of 402, 392, 264, 963, 468?

Answer: LCM of 402, 392, 264, 963, 468 is 3616789176.

2. How to calculate the LCM of 402, 392, 264, 963, 468?

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 402, 392, 264, 963, 468.

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}.