Given numbers are 310,392,551,138,320

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

The LCM of 310,392,551,138,320 is 18480275520.

Find LCM of 310,392,551,138,320 with Prime Factorization

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

2 x 2 x 2 x 5 x 31 x 49 x 551 x 69 x 8 = 18480275520

Therefore, the lowest common multiple of 310,392,551,138,320 is 18480275520.

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.

310 x 392 x 551 x 138 x 320 = 2956844083200

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

551 : 1, 19, 29, 551

138 : 1, 2, 3, 6, 23, 46, 69, 138

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,392,551,138,320, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

392:2x 2x 2x 7x 7

551:19x 29

138:2x 3x 23

320:2x 2x 2x 2x 2x 2x 5

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 = 2956844083200/(1x160)

LCM = 2956844083200/160

LCM = 18480275520

Thus, we can understand that the LCM of 310,392,551,138,320 is 18480275520.

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

• LCM of 389, 533, 173, 447, 844
• LCM of 451, 392, 948, 141, 904
• LCM of 245, 779, 957, 407, 576
• LCM of 653, 612, 436, 470, 878
• LCM of 801, 304, 598, 363, 857

1. What is the LCM of 310, 392, 551, 138, 320?

Answer: LCM of 310, 392, 551, 138, 320 is 18480275520.

2. How to calculate the LCM of 310, 392, 551, 138, 320?

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 310, 392, 551, 138, 320.

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}.