Given numbers are 464,875,226,763,966

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

The LCM of 464,875,226,763,966 is 345048438000.

Find LCM of 464,875,226,763,966 with Prime Factorization

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

2 x 7 x 232 x 125 x 113 x 109 x 69 = 345048438000

Therefore, the lowest common multiple of 464,875,226,763,966 is 345048438000.

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.

464 x 875 x 226 x 763 x 966 = 67629493848000

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.

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

875 : 1, 5, 7, 25, 35, 125, 175, 875

226 : 1, 2, 113, 226

763 : 1, 7, 109, 763

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,875,226,763,966, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

875:5x 5x 5x 7

226:2x 113

763:7x 109

966:2x 3x 7x 23

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 67629493848000/(1x196)

LCM = 67629493848000/196

LCM = 345048438000

Thus, we can understand that the LCM of 464,875,226,763,966 is 345048438000.

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

• LCM of 623, 412, 830, 850, 850
• LCM of 766, 449, 731, 540, 678
• LCM of 108, 116, 879, 326, 161
• LCM of 978, 535, 487, 724, 565
• LCM of 636, 197, 820, 616, 238

1. What is the LCM of 464, 875, 226, 763, 966?

Answer: LCM of 464, 875, 226, 763, 966 is 345048438000.

2. How to calculate the LCM of 464, 875, 226, 763, 966?

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 464, 875, 226, 763, 966.

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}.