Given numbers are 870,260,824,296,502

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

The LCM of 870,260,824,296,502 is 43274819640.

Find LCM of 870,260,824,296,502 with Prime Factorization

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

2 x 2 x 2 x 5 x 87 x 13 x 103 x 37 x 251 = 43274819640

Therefore, the lowest common multiple of 870,260,824,296,502 is 43274819640.

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.

870 x 260 x 824 x 296 x 502 = 27695884569600

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

824 : 1, 2, 4, 8, 103, 206, 412, 824

296 : 1, 2, 4, 8, 37, 74, 148, 296

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,260,824,296,502, is 2.

Now, the common factors can be found like this.

870:2x 3x 5x 29

260:2x 2x 5x 13

824:2x 2x 2x 103

296:2x 2x 2x 37

502:2x 251

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 5 = 320

Therefore, the value for common factors is 320.

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 = 27695884569600/(2x320)

LCM = 27695884569600/640

LCM = 43274819640

Thus, we can understand that the LCM of 870,260,824,296,502 is 43274819640.

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

• LCM of 237, 513, 434, 700, 569
• LCM of 465, 137, 687, 785, 816
• LCM of 337, 456, 118, 410, 167
• LCM of 830, 564, 543, 852, 317
• LCM of 159, 356, 318, 374, 191

1. What is the LCM of 870, 260, 824, 296, 502?

Answer: LCM of 870, 260, 824, 296, 502 is 43274819640.

2. How to calculate the LCM of 870, 260, 824, 296, 502?

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 870, 260, 824, 296, 502.

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}.