Given numbers are 498,924,551,645,122

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

The LCM of 498,924,551,645,122 is 554204384580.

Find LCM of 498,924,551,645,122 with Prime Factorization

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

2 x 3 x 83 x 154 x 551 x 215 x 61 = 554204384580

Therefore, the lowest common multiple of 498,924,551,645,122 is 554204384580.

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.

498 x 924 x 551 x 645 x 122 = 19951357844880

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

551 : 1, 19, 29, 551

645 : 1, 3, 5, 15, 43, 129, 215, 645

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,924,551,645,122, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

924:2x 2x 3x 7x 11

551:19x 29

645:3x 5x 43

122:2x 61

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 19951357844880/(1x36)

LCM = 19951357844880/36

LCM = 554204384580

Thus, we can understand that the LCM of 498,924,551,645,122 is 554204384580.

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

• LCM of 284, 130, 991, 387, 256
• LCM of 698, 125, 187, 466, 767
• LCM of 745, 822, 905, 756, 340
• LCM of 683, 261, 536, 761, 662
• LCM of 203, 348, 807, 824, 657

1. What is the LCM of 498, 924, 551, 645, 122?

Answer: LCM of 498, 924, 551, 645, 122 is 554204384580.

2. How to calculate the LCM of 498, 924, 551, 645, 122?

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 498, 924, 551, 645, 122.

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}.