Given numbers are 916,590,914,133,498

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

The LCM of 916,590,914,133,498 is 4089636213180.

Find LCM of 916,590,914,133,498 with Prime Factorization

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

2 x 458 x 295 x 457 x 133 x 249 = 4089636213180

Therefore, the lowest common multiple of 916,590,914,133,498 is 4089636213180.

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.

916 x 590 x 914 x 133 x 498 = 32717089705440

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.

916 : 1, 2, 4, 229, 458, 916

590 : 1, 2, 5, 10, 59, 118, 295, 590

914 : 1, 2, 457, 914

133 : 1, 7, 19, 133

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,590,914,133,498, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

590:2x 5x 59

914:2x 457

133:7x 19

498:2x 3x 83

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 32717089705440/(1x8)

LCM = 32717089705440/8

LCM = 4089636213180

Thus, we can understand that the LCM of 916,590,914,133,498 is 4089636213180.

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

• LCM of 564, 514, 171, 821, 531
• LCM of 941, 824, 555, 170, 634
• LCM of 561, 107, 123, 422, 461
• LCM of 272, 742, 553, 580, 318
• LCM of 689, 190, 662, 743, 273

1. What is the LCM of 916, 590, 914, 133, 498?

Answer: LCM of 916, 590, 914, 133, 498 is 4089636213180.

2. How to calculate the LCM of 916, 590, 914, 133, 498?

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 916, 590, 914, 133, 498.

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}.