Given numbers are 464,596,395,420,257

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

The LCM of 464,596,395,420,257 is 147385161840.

Find LCM of 464,596,395,420,257 with Prime Factorization

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

2 x 2 x 5 x 116 x 149 x 79 x 21 x 257 = 147385161840

Therefore, the lowest common multiple of 464,596,395,420,257 is 147385161840.

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 596 x 395 x 420 x 257 = 11790812947200

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

596 : 1, 2, 4, 149, 298, 596

395 : 1, 5, 79, 395

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,596,395,420,257, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

596:2x 2x 149

395:5x 79

420:2x 2x 3x 5x 7

257:257

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 5 = 80

Therefore, the value for common factors is 80.

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 = 11790812947200/(1x80)

LCM = 11790812947200/80

LCM = 147385161840

Thus, we can understand that the LCM of 464,596,395,420,257 is 147385161840.

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

• LCM of 818, 847, 928, 235, 834
• LCM of 217, 239, 654, 557, 786
• LCM of 150, 220, 152, 636, 598
• LCM of 203, 659, 372, 803, 366
• LCM of 383, 545, 602, 669, 145

1. What is the LCM of 464, 596, 395, 420, 257?

Answer: LCM of 464, 596, 395, 420, 257 is 147385161840.

2. How to calculate the LCM of 464, 596, 395, 420, 257?

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, 596, 395, 420, 257.

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}.