Given numbers are 924,206,714,819,165

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

The LCM of 924,206,714,819,165 is 315495180.

Find LCM of 924,206,714,819,165 with Prime Factorization

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

2 x 3 x 7 x 11 x 2 x 103 x 17 x 39 x 5 = 315495180

Therefore, the lowest common multiple of 924,206,714,819,165 is 315495180.

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.

924 x 206 x 714 x 819 x 165 = 18365605418160

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.

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

206 : 1, 2, 103, 206

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,206,714,819,165, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

206:2x 103

714:2x 3x 7x 17

819:3x 3x 7x 13

165:3x 5x 11

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 3x 3x 7x 7x 11 = 58212

Therefore, the value for common factors is 58212.

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 = 18365605418160/(1x58212)

LCM = 18365605418160/58212

LCM = 315495180

Thus, we can understand that the LCM of 924,206,714,819,165 is 315495180.

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

• LCM of 120, 148, 822, 433, 174
• LCM of 572, 988, 989, 570, 638
• LCM of 689, 391, 669, 367, 232
• LCM of 278, 310, 866, 241, 667
• LCM of 492, 633, 811, 959, 661

1. What is the LCM of 924, 206, 714, 819, 165?

Answer: LCM of 924, 206, 714, 819, 165 is 315495180.

2. How to calculate the LCM of 924, 206, 714, 819, 165?

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 924, 206, 714, 819, 165.

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}.