Given numbers are 458,208,563,155,715

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

The LCM of 458,208,563,155,715 is 45722671280.

Find LCM of 458,208,563,155,715 with Prime Factorization

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

2 x 5 x 13 x 229 x 8 x 563 x 31 x 11 = 45722671280

Therefore, the lowest common multiple of 458,208,563,155,715 is 45722671280.

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.

458 x 208 x 563 x 155 x 715 = 5943947266400

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.

458 : 1, 2, 229, 458

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

563 : 1, 563

155 : 1, 5, 31, 155

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,208,563,155,715, is 1.

Now, the common factors can be found like this.

458:2x 229

208:2x 2x 2x 2x 13

563:563

155:5x 31

715:5x 11x 13

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 5943947266400/(1x130)

LCM = 5943947266400/130

LCM = 45722671280

Thus, we can understand that the LCM of 458,208,563,155,715 is 45722671280.

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

• LCM of 457, 804, 831, 773, 605
• LCM of 961, 508, 470, 152, 664
• LCM of 438, 379, 259, 978, 947
• LCM of 661, 483, 763, 381, 883
• LCM of 783, 463, 609, 266, 160

1. What is the LCM of 458, 208, 563, 155, 715?

Answer: LCM of 458, 208, 563, 155, 715 is 45722671280.

2. How to calculate the LCM of 458, 208, 563, 155, 715?

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 458, 208, 563, 155, 715.

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}.