Given numbers are 961,828,812,146,464

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

The LCM of 961,828,812,146,464 is 47166387408.

Find LCM of 961,828,812,146,464 with Prime Factorization

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

2 x 2 x 29 x 961 x 207 x 7 x 73 x 4 = 47166387408

Therefore, the lowest common multiple of 961,828,812,146,464 is 47166387408.

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.

961 x 828 x 812 x 146 x 464 = 43770407514624

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.

961 : 1, 31, 961

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

146 : 1, 2, 73, 146

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,828,812,146,464, is 1.

Now, the common factors can be found like this.

961:31x 31

828:2x 2x 3x 3x 23

812:2x 2x 7x 29

146:2x 73

464:2x 2x 2x 2x 29

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 29 = 928

Therefore, the value for common factors is 928.

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 = 43770407514624/(1x928)

LCM = 43770407514624/928

LCM = 47166387408

Thus, we can understand that the LCM of 961,828,812,146,464 is 47166387408.

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

• LCM of 389, 800, 249, 794, 558
• LCM of 404, 142, 237, 534, 173
• LCM of 467, 509, 589, 559, 157
• LCM of 446, 651, 722, 737, 478
• LCM of 611, 509, 753, 698, 978

1. What is the LCM of 961, 828, 812, 146, 464?

Answer: LCM of 961, 828, 812, 146, 464 is 47166387408.

2. How to calculate the LCM of 961, 828, 812, 146, 464?

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 961, 828, 812, 146, 464.

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}.