Given numbers are 709,891,296,414,321

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

The LCM of 709,891,296,414,321 is 460179495864.

Find LCM of 709,891,296,414,321 with Prime Factorization

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

2 x 3 x 3 x 709 x 99 x 148 x 23 x 107 = 460179495864

Therefore, the lowest common multiple of 709,891,296,414,321 is 460179495864.

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.

709 x 891 x 296 x 414 x 321 = 24849692776656

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.

709 : 1, 709

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,891,296,414,321, is 1.

Now, the common factors can be found like this.

709:709

891:3x 3x 3x 3x 11

296:2x 2x 2x 37

414:2x 3x 3x 23

321:3x 107

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 = 24849692776656/(1x54)

LCM = 24849692776656/54

LCM = 460179495864

Thus, we can understand that the LCM of 709,891,296,414,321 is 460179495864.

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

• LCM of 881, 493, 636, 684, 423
• LCM of 846, 724, 931, 429, 518
• LCM of 312, 171, 142, 650, 529
• LCM of 968, 309, 809, 947, 368
• LCM of 656, 173, 585, 123, 228

1. What is the LCM of 709, 891, 296, 414, 321?

Answer: LCM of 709, 891, 296, 414, 321 is 460179495864.

2. How to calculate the LCM of 709, 891, 296, 414, 321?

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 709, 891, 296, 414, 321.

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}.