Given numbers are 428,737,933,456,760

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

The LCM of 428,737,933,456,760 is 55917339720.

Find LCM of 428,737,933,456,760 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 107 x 737 x 311 x 1 x 5 = 55917339720

Therefore, the lowest common multiple of 428,737,933,456,760 is 55917339720.

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.

428 x 737 x 933 x 456 x 760 = 101993227649280

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.

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

737 : 1, 11, 67, 737

933 : 1, 3, 311, 933

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,737,933,456,760, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

737:11x 67

933:3x 311

456:2x 2x 2x 3x 19

760:2x 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 2x 3x 19 = 1824

Therefore, the value for common factors is 1824.

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 = 101993227649280/(1x1824)

LCM = 101993227649280/1824

LCM = 55917339720

Thus, we can understand that the LCM of 428,737,933,456,760 is 55917339720.

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

• LCM of 822, 853, 833, 784, 564
• LCM of 812, 422, 333, 258, 240
• LCM of 732, 533, 302, 443, 698
• LCM of 478, 172, 695, 455, 719
• LCM of 829, 721, 300, 129, 522

1. What is the LCM of 428, 737, 933, 456, 760?

Answer: LCM of 428, 737, 933, 456, 760 is 55917339720.

2. How to calculate the LCM of 428, 737, 933, 456, 760?

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 428, 737, 933, 456, 760.

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}.