Given numbers are 608,780,455,992,331

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

The LCM of 608,780,455,992,331 is 8515809120.

Find LCM of 608,780,455,992,331 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 13 x 19 x 3 x 7 x 31 x 331 = 8515809120

Therefore, the lowest common multiple of 608,780,455,992,331 is 8515809120.

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.

608 x 780 x 455 x 992 x 331 = 70851531878400

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

455 : 1, 5, 7, 13, 35, 65, 91, 455

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,780,455,992,331, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

780:2x 2x 3x 5x 13

455:5x 7x 13

992:2x 2x 2x 2x 2x 31

331:331

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 2x 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 70851531878400/(1x8320)

LCM = 70851531878400/8320

LCM = 8515809120

Thus, we can understand that the LCM of 608,780,455,992,331 is 8515809120.

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

• LCM of 562, 172, 494, 792, 972
• LCM of 918, 669, 270, 121, 959
• LCM of 729, 922, 441, 345, 864
• LCM of 243, 560, 602, 982, 236
• LCM of 864, 612, 549, 807, 827

1. What is the LCM of 608, 780, 455, 992, 331?

Answer: LCM of 608, 780, 455, 992, 331 is 8515809120.

2. How to calculate the LCM of 608, 780, 455, 992, 331?

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 608, 780, 455, 992, 331.

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}.