Given numbers are 464,689,202,530,782

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

The LCM of 464,689,202,530,782 is 63125573680.

Find LCM of 464,689,202,530,782 with Prime Factorization

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

2 x 53 x 232 x 13 x 101 x 5 x 391 = 63125573680

Therefore, the lowest common multiple of 464,689,202,530,782 is 63125573680.

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 689 x 202 x 530 x 782 = 26765243240320

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

689 : 1, 13, 53, 689

202 : 1, 2, 101, 202

530 : 1, 2, 5, 10, 53, 106, 265, 530

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,689,202,530,782, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

689:13x 53

202:2x 101

530:2x 5x 53

782:2x 17x 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 2x 53 = 424

Therefore, the value for common factors is 424.

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 = 26765243240320/(1x424)

LCM = 26765243240320/424

LCM = 63125573680

Thus, we can understand that the LCM of 464,689,202,530,782 is 63125573680.

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

• LCM of 920, 155, 901, 870, 548
• LCM of 493, 146, 709, 333, 367
• LCM of 636, 835, 908, 128, 880
• LCM of 808, 141, 919, 305, 929
• LCM of 582, 534, 361, 796, 312

1. What is the LCM of 464, 689, 202, 530, 782?

Answer: LCM of 464, 689, 202, 530, 782 is 63125573680.

2. How to calculate the LCM of 464, 689, 202, 530, 782?

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, 689, 202, 530, 782.

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}.