Given numbers are 390,756,860,156,958

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

The LCM of 390,756,860,156,958 is 1012136580.

Find LCM of 390,756,860,156,958 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 1 x 63 x 43 x 1 x 479 = 1012136580

Therefore, the lowest common multiple of 390,756,860,156,958 is 1012136580.

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.

390 x 756 x 860 x 156 x 958 = 37894393555200

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,756,860,156,958, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

756:2x 2x 3x 3x 3x 7

860:2x 2x 5x 43

156:2x 2x 3x 13

958:2x 479

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 2x 3x 3x 5x 13 = 18720

Therefore, the value for common factors is 18720.

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 = 37894393555200/(2x18720)

LCM = 37894393555200/37440

LCM = 1012136580

Thus, we can understand that the LCM of 390,756,860,156,958 is 1012136580.

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

• LCM of 904, 939, 570, 870, 943
• LCM of 685, 890, 113, 469, 498
• LCM of 594, 977, 155, 615, 975
• LCM of 299, 705, 775, 208, 955
• LCM of 851, 506, 507, 413, 116

1. What is the LCM of 390, 756, 860, 156, 958?

Answer: LCM of 390, 756, 860, 156, 958 is 1012136580.

2. How to calculate the LCM of 390, 756, 860, 156, 958?

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 390, 756, 860, 156, 958.

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}.