Given numbers are 318,142,646,792

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

The LCM of 318,142,646,792 is 962635608.

Find LCM of 318,142,646,792 with Prime Factorization

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

2 x 3 x 53 x 71 x 323 x 132 = 962635608

Therefore, the lowest common multiple of 318,142,646,792 is 962635608.

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.

318 x 142 x 646 x 792 = 23103254592

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

142 : 1, 2, 71, 142

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,142,646,792, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

142:2x 71

646:2x 17x 19

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

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 3 = 12

Therefore, the value for common factors is 12.

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 = 23103254592/(2x12)

LCM = 23103254592/24

LCM = 962635608

Thus, we can understand that the LCM of 318,142,646,792 is 962635608.

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

• LCM of 494, 775, 898, 146
• LCM of 897, 297, 225, 587
• LCM of 379, 121, 128, 145
• LCM of 553, 430, 837, 827
• LCM of 529, 500, 740, 423

1. What is the LCM of 318, 142, 646, 792?

Answer: LCM of 318, 142, 646, 792 is 962635608.

2. How to calculate the LCM of 318, 142, 646, 792?

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 318, 142, 646, 792.

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}.