Given numbers are 310,578,947,328

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

The LCM of 310,578,947,328 is 13914043720.

Find LCM of 310,578,947,328 with Prime Factorization

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

2 x 155 x 289 x 947 x 164 = 13914043720

Therefore, the lowest common multiple of 310,578,947,328 is 13914043720.

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 578 x 947 x 328 = 55656174880

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

578 : 1, 2, 17, 34, 289, 578

947 : 1, 947

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,578,947,328, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

578:2x 17x 17

947:947

328:2x 2x 2x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55656174880/(1x4)

LCM = 55656174880/4

LCM = 13914043720

Thus, we can understand that the LCM of 310,578,947,328 is 13914043720.

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

• LCM of 980, 205, 912, 441
• LCM of 551, 241, 540, 963
• LCM of 791, 652, 111, 318
• LCM of 453, 326, 112, 796
• LCM of 343, 793, 619, 121

1. What is the LCM of 310, 578, 947, 328?

Answer: LCM of 310, 578, 947, 328 is 13914043720.

2. How to calculate the LCM of 310, 578, 947, 328?

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, 578, 947, 328.

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}.