Given numbers are 762,213,715,456,633

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

The LCM of 762,213,715,456,633 is 620319465480.

Find LCM of 762,213,715,456,633 with Prime Factorization

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

2 x 3 x 127 x 71 x 715 x 76 x 211 = 620319465480

Therefore, the lowest common multiple of 762,213,715,456,633 is 620319465480.

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.

762 x 213 x 715 x 456 x 633 = 33497251135920

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

213 : 1, 3, 71, 213

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,213,715,456,633, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

213:3x 71

715:5x 11x 13

456:2x 2x 2x 3x 19

633:3x 211

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 33497251135920/(1x54)

LCM = 33497251135920/54

LCM = 620319465480

Thus, we can understand that the LCM of 762,213,715,456,633 is 620319465480.

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

• LCM of 205, 818, 421, 144, 620
• LCM of 517, 682, 212, 714, 116
• LCM of 895, 428, 886, 715, 737
• LCM of 381, 410, 218, 503, 115
• LCM of 317, 573, 733, 384, 195

1. What is the LCM of 762, 213, 715, 456, 633?

Answer: LCM of 762, 213, 715, 456, 633 is 620319465480.

2. How to calculate the LCM of 762, 213, 715, 456, 633?

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 762, 213, 715, 456, 633.

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}.