Given numbers are 760,628,522,457,399

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

The LCM of 760,628,522,457,399 is 99624921480.

Find LCM of 760,628,522,457,399 with Prime Factorization

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

2 x 2 x 3 x 19 x 10 x 157 x 87 x 457 x 7 = 99624921480

Therefore, the lowest common multiple of 760,628,522,457,399 is 99624921480.

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.

760 x 628 x 522 x 457 x 399 = 45428964194880

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

628 : 1, 2, 4, 157, 314, 628

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

457 : 1, 457

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,628,522,457,399, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

628:2x 2x 157

522:2x 3x 3x 29

457:457

399:3x 7x 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 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 45428964194880/(1x456)

LCM = 45428964194880/456

LCM = 99624921480

Thus, we can understand that the LCM of 760,628,522,457,399 is 99624921480.

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

• LCM of 179, 239, 993, 819, 459
• LCM of 493, 421, 741, 654, 638
• LCM of 894, 823, 797, 637, 986
• LCM of 633, 483, 872, 346, 323
• LCM of 210, 417, 509, 819, 839

1. What is the LCM of 760, 628, 522, 457, 399?

Answer: LCM of 760, 628, 522, 457, 399 is 99624921480.

2. How to calculate the LCM of 760, 628, 522, 457, 399?

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 760, 628, 522, 457, 399.

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}.