Given numbers are 507,962,616,536,778

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

The LCM of 507,962,616,536,778 is 301172143272.

Find LCM of 507,962,616,536,778 with Prime Factorization

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

2 x 2 x 2 x 13 x 39 x 37 x 77 x 67 x 389 = 301172143272

Therefore, the lowest common multiple of 507,962,616,536,778 is 301172143272.

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.

507 x 962 x 616 x 536 x 778 = 125287611601152

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.

507 : 1, 3, 13, 39, 169, 507

962 : 1, 2, 13, 26, 37, 74, 481, 962

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

536 : 1, 2, 4, 8, 67, 134, 268, 536

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,962,616,536,778, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

962:2x 13x 37

616:2x 2x 2x 7x 11

536:2x 2x 2x 67

778:2x 389

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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 125287611601152/(1x416)

LCM = 125287611601152/416

LCM = 301172143272

Thus, we can understand that the LCM of 507,962,616,536,778 is 301172143272.

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

• LCM of 240, 455, 742, 422, 131
• LCM of 902, 882, 733, 595, 267
• LCM of 744, 767, 811, 268, 317
• LCM of 665, 308, 954, 125, 108
• LCM of 576, 124, 698, 880, 481

1. What is the LCM of 507, 962, 616, 536, 778?

Answer: LCM of 507, 962, 616, 536, 778 is 301172143272.

2. How to calculate the LCM of 507, 962, 616, 536, 778?

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 507, 962, 616, 536, 778.

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}.