Given numbers are 289,456,594,489,639

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

The LCM of 289,456,594,489,639 is 150988486968.

Find LCM of 289,456,594,489,639 with Prime Factorization

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

2 x 3 x 3 x 289 x 76 x 33 x 163 x 71 = 150988486968

Therefore, the lowest common multiple of 289,456,594,489,639 is 150988486968.

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.

289 x 456 x 594 x 489 x 639 = 24460134888816

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.

289 : 1, 17, 289

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

489 : 1, 3, 163, 489

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,456,594,489,639, is 1.

Now, the common factors can be found like this.

289:17x 17

456:2x 2x 2x 3x 19

594:2x 3x 3x 3x 11

489:3x 163

639:3x 3x 71

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 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 24460134888816/(1x162)

LCM = 24460134888816/162

LCM = 150988486968

Thus, we can understand that the LCM of 289,456,594,489,639 is 150988486968.

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

• LCM of 641, 351, 959, 783, 849
• LCM of 325, 872, 356, 850, 402
• LCM of 396, 115, 731, 167, 253
• LCM of 105, 316, 631, 987, 478
• LCM of 523, 451, 124, 947, 612

1. What is the LCM of 289, 456, 594, 489, 639?

Answer: LCM of 289, 456, 594, 489, 639 is 150988486968.

2. How to calculate the LCM of 289, 456, 594, 489, 639?

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 289, 456, 594, 489, 639.

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}.