Given numbers are 470,331,488,780,316

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

The LCM of 470,331,488,780,316 is 116951925480.

Find LCM of 470,331,488,780,316 with Prime Factorization

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

2 x 2 x 5 x 47 x 331 x 122 x 39 x 79 = 116951925480

Therefore, the lowest common multiple of 470,331,488,780,316 is 116951925480.

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.

470 x 331 x 488 x 780 x 316 = 18712308076800

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

331 : 1, 331

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,331,488,780,316, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

331:331

488:2x 2x 2x 61

780:2x 2x 3x 5x 13

316:2x 2x 79

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 5 = 160

Therefore, the value for common factors is 160.

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 = 18712308076800/(1x160)

LCM = 18712308076800/160

LCM = 116951925480

Thus, we can understand that the LCM of 470,331,488,780,316 is 116951925480.

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

• LCM of 605, 737, 602, 997, 815
• LCM of 387, 226, 365, 719, 366
• LCM of 512, 711, 850, 544, 770
• LCM of 930, 603, 990, 989, 930
• LCM of 756, 688, 301, 455, 431

1. What is the LCM of 470, 331, 488, 780, 316?

Answer: LCM of 470, 331, 488, 780, 316 is 116951925480.

2. How to calculate the LCM of 470, 331, 488, 780, 316?

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 470, 331, 488, 780, 316.

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}.