Given numbers are 930,920,198,862,468

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

The LCM of 930,920,198,862,468 is 15819958440.

Find LCM of 930,920,198,862,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 31 x 46 x 11 x 431 x 13 = 15819958440

Therefore, the lowest common multiple of 930,920,198,862,468 is 15819958440.

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.

930 x 920 x 198 x 862 x 468 = 68342220460800

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

862 : 1, 2, 431, 862

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,920,198,862,468, is 2.

Now, the common factors can be found like this.

930:2x 3x 5x 31

920:2x 2x 2x 5x 23

198:2x 3x 3x 11

862:2x 431

468:2x 2x 3x 3x 13

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 2x 2x 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 68342220460800/(2x2160)

LCM = 68342220460800/4320

LCM = 15819958440

Thus, we can understand that the LCM of 930,920,198,862,468 is 15819958440.

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

• LCM of 951, 414, 601, 800, 889
• LCM of 877, 778, 717, 341, 941
• LCM of 272, 390, 226, 592, 323
• LCM of 889, 556, 169, 189, 892
• LCM of 155, 836, 179, 483, 691

1. What is the LCM of 930, 920, 198, 862, 468?

Answer: LCM of 930, 920, 198, 862, 468 is 15819958440.

2. How to calculate the LCM of 930, 920, 198, 862, 468?

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 930, 920, 198, 862, 468.

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}.