Given numbers are 470,688,103,258

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

The LCM of 470,688,103,258 is 49959120.

Find LCM of 470,688,103,258 with Prime Factorization

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

2 x 43 x 235 x 8 x 103 x 3 = 49959120

Therefore, the lowest common multiple of 470,688,103,258 is 49959120.

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 688 x 103 x 258 = 8592968640

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

103 : 1, 103

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,688,103,258, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

688:2x 2x 2x 2x 43

103:103

258:2x 3x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 8592968640/(1x172)

LCM = 8592968640/172

LCM = 49959120

Thus, we can understand that the LCM of 470,688,103,258 is 49959120.

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

• LCM of 114, 832, 946, 164
• LCM of 583, 969, 637, 912
• LCM of 941, 856, 259, 976
• LCM of 275, 551, 319, 730
• LCM of 988, 360, 458, 399

1. What is the LCM of 470, 688, 103, 258?

Answer: LCM of 470, 688, 103, 258 is 49959120.

2. How to calculate the LCM of 470, 688, 103, 258?

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, 688, 103, 258.

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}.