Given numbers are 506,959,968,355,632

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

The LCM of 506,959,968,355,632 is 598793730920.

Find LCM of 506,959,968,355,632 with Prime Factorization

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

2 x 2 x 2 x 11 x 23 x 959 x 11 x 355 x 79 = 598793730920

Therefore, the lowest common multiple of 506,959,968,355,632 is 598793730920.

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.

506 x 959 x 968 x 355 x 632 = 105387696641920

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

959 : 1, 7, 137, 959

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

355 : 1, 5, 71, 355

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,959,968,355,632, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

959:7x 137

968:2x 2x 2x 11x 11

355:5x 71

632:2x 2x 2x 79

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 11 = 176

Therefore, the value for common factors is 176.

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 = 105387696641920/(1x176)

LCM = 105387696641920/176

LCM = 598793730920

Thus, we can understand that the LCM of 506,959,968,355,632 is 598793730920.

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

• LCM of 353, 231, 406, 613, 714
• LCM of 959, 350, 601, 172, 122
• LCM of 586, 934, 495, 768, 816
• LCM of 912, 182, 609, 337, 209
• LCM of 479, 218, 674, 418, 300

1. What is the LCM of 506, 959, 968, 355, 632?

Answer: LCM of 506, 959, 968, 355, 632 is 598793730920.

2. How to calculate the LCM of 506, 959, 968, 355, 632?

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 506, 959, 968, 355, 632.

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}.