Given numbers are 767,186,990,552,380

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

The LCM of 767,186,990,552,380 is 41146574040.

Find LCM of 767,186,990,552,380 with Prime Factorization

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

2 x 2 x 3 x 5 x 767 x 31 x 33 x 46 x 19 = 41146574040

Therefore, the lowest common multiple of 767,186,990,552,380 is 41146574040.

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.

767 x 186 x 990 x 552 x 380 = 29625533308800

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.

767 : 1, 13, 59, 767

186 : 1, 2, 3, 6, 31, 62, 93, 186

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,186,990,552,380, is 1.

Now, the common factors can be found like this.

767:13x 59

186:2x 3x 31

990:2x 3x 3x 5x 11

552:2x 2x 2x 3x 23

380:2x 2x 5x 19

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 29625533308800/(1x720)

LCM = 29625533308800/720

LCM = 41146574040

Thus, we can understand that the LCM of 767,186,990,552,380 is 41146574040.

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

• LCM of 178, 811, 578, 666, 904
• LCM of 570, 991, 116, 898, 827
• LCM of 288, 443, 162, 337, 687
• LCM of 497, 873, 859, 310, 474
• LCM of 515, 702, 329, 342, 492

1. What is the LCM of 767, 186, 990, 552, 380?

Answer: LCM of 767, 186, 990, 552, 380 is 41146574040.

2. How to calculate the LCM of 767, 186, 990, 552, 380?

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 767, 186, 990, 552, 380.

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}.