Given numbers are 846,258,735,494,984

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

The LCM of 846,258,735,494,984 is 361032005880.

Find LCM of 846,258,735,494,984 with Prime Factorization

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

2 x 3 x 141 x 43 x 245 x 247 x 164 = 361032005880

Therefore, the lowest common multiple of 846,258,735,494,984 is 361032005880.

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.

846 x 258 x 735 x 494 x 984 = 77982913270080

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.

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

258 : 1, 2, 3, 6, 43, 86, 129, 258

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

494 : 1, 2, 13, 19, 26, 38, 247, 494

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,258,735,494,984, is 1.

Now, the common factors can be found like this.

846:2x 3x 3x 47

258:2x 3x 43

735:3x 5x 7x 7

494:2x 13x 19

984:2x 2x 2x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 77982913270080/(1x216)

LCM = 77982913270080/216

LCM = 361032005880

Thus, we can understand that the LCM of 846,258,735,494,984 is 361032005880.

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

• LCM of 113, 113, 954, 338, 968
• LCM of 728, 314, 652, 291, 490
• LCM of 549, 645, 978, 455, 782
• LCM of 300, 500, 504, 952, 561
• LCM of 914, 825, 770, 912, 447

1. What is the LCM of 846, 258, 735, 494, 984?

Answer: LCM of 846, 258, 735, 494, 984 is 361032005880.

2. How to calculate the LCM of 846, 258, 735, 494, 984?

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 846, 258, 735, 494, 984.

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}.