Given numbers are 583,596,472,414

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

The LCM of 583,596,472,414 is 8487253368.

Find LCM of 583,596,472,414 with Prime Factorization

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

2 x 2 x 583 x 149 x 118 x 207 = 8487253368

Therefore, the lowest common multiple of 583,596,472,414 is 8487253368.

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.

583 x 596 x 472 x 414 = 67898026944

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.

583 : 1, 11, 53, 583

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,596,472,414, is 1.

Now, the common factors can be found like this.

583:11x 53

596:2x 2x 149

472:2x 2x 2x 59

414:2x 3x 3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 67898026944/(1x8)

LCM = 67898026944/8

LCM = 8487253368

Thus, we can understand that the LCM of 583,596,472,414 is 8487253368.

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

• LCM of 622, 786, 526, 111
• LCM of 729, 809, 797, 338
• LCM of 802, 412, 675, 278
• LCM of 890, 998, 368, 218
• LCM of 967, 238, 688, 708

1. What is the LCM of 583, 596, 472, 414?

Answer: LCM of 583, 596, 472, 414 is 8487253368.

2. How to calculate the LCM of 583, 596, 472, 414?

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 583, 596, 472, 414.

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}.