Given numbers are 416,596,398,122,772

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

The LCM of 416,596,398,122,772 is 145217788768.

Find LCM of 416,596,398,122,772 with Prime Factorization

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

2 x 2 x 104 x 149 x 199 x 61 x 193 = 145217788768

Therefore, the lowest common multiple of 416,596,398,122,772 is 145217788768.

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.

416 x 596 x 398 x 122 x 772 = 9293938481152

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

398 : 1, 2, 199, 398

122 : 1, 2, 61, 122

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,596,398,122,772, is 2.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

596:2x 2x 149

398:2x 199

122:2x 61

772:2x 2x 193

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 2 = 32

Therefore, the value for common factors is 32.

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 = 9293938481152/(2x32)

LCM = 9293938481152/64

LCM = 145217788768

Thus, we can understand that the LCM of 416,596,398,122,772 is 145217788768.

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

• LCM of 252, 659, 104, 504, 742
• LCM of 535, 681, 622, 274, 216
• LCM of 565, 949, 660, 623, 636
• LCM of 427, 518, 790, 549, 951
• LCM of 408, 239, 271, 451, 920

1. What is the LCM of 416, 596, 398, 122, 772?

Answer: LCM of 416, 596, 398, 122, 772 is 145217788768.

2. How to calculate the LCM of 416, 596, 398, 122, 772?

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 416, 596, 398, 122, 772.

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}.