Given numbers are 363,428,520,723,657

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

The LCM of 363,428,520,723,657 is 1065994352280.

Find LCM of 363,428,520,723,657 with Prime Factorization

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

2 x 2 x 3 x 121 x 107 x 130 x 241 x 219 = 1065994352280

Therefore, the lowest common multiple of 363,428,520,723,657 is 1065994352280.

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.

363 x 428 x 520 x 723 x 657 = 38375796682080

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.

363 : 1, 3, 11, 33, 121, 363

428 : 1, 2, 4, 107, 214, 428

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

723 : 1, 3, 241, 723

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,428,520,723,657, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

428:2x 2x 107

520:2x 2x 2x 5x 13

723:3x 241

657:3x 3x 73

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 38375796682080/(1x36)

LCM = 38375796682080/36

LCM = 1065994352280

Thus, we can understand that the LCM of 363,428,520,723,657 is 1065994352280.

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

• LCM of 593, 154, 313, 453, 563
• LCM of 487, 909, 831, 636, 284
• LCM of 979, 393, 977, 235, 300
• LCM of 785, 754, 405, 102, 452
• LCM of 619, 977, 586, 229, 576

1. What is the LCM of 363, 428, 520, 723, 657?

Answer: LCM of 363, 428, 520, 723, 657 is 1065994352280.

2. How to calculate the LCM of 363, 428, 520, 723, 657?

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 363, 428, 520, 723, 657.

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}.