Given numbers are 715,763,478,414

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

The LCM of 715,763,478,414 is 53979495570.

Find LCM of 715,763,478,414 with Prime Factorization

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

2 x 715 x 763 x 239 x 207 = 53979495570

Therefore, the lowest common multiple of 715,763,478,414 is 53979495570.

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.

715 x 763 x 478 x 414 = 107958991140

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.

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

763 : 1, 7, 109, 763

478 : 1, 2, 239, 478

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,763,478,414, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

763:7x 109

478:2x 239

414:2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 107958991140/(1x2)

LCM = 107958991140/2

LCM = 53979495570

Thus, we can understand that the LCM of 715,763,478,414 is 53979495570.

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

• LCM of 765, 579, 507, 174
• LCM of 159, 575, 813, 541
• LCM of 816, 961, 373, 427
• LCM of 933, 491, 437, 292
• LCM of 405, 593, 454, 257

1. What is the LCM of 715, 763, 478, 414?

Answer: LCM of 715, 763, 478, 414 is 53979495570.

2. How to calculate the LCM of 715, 763, 478, 414?

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 715, 763, 478, 414.

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}.