Given numbers are 470,415,283,635

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

The LCM of 470,415,283,635 is 1402058410.

Find LCM of 470,415,283,635 with Prime Factorization

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

5 x 94 x 83 x 283 x 127 = 1402058410

Therefore, the lowest common multiple of 470,415,283,635 is 1402058410.

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 415 x 283 x 635 = 35051460250

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

415 : 1, 5, 83, 415

283 : 1, 283

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,415,283,635, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

415:5x 83

283:283

635:5x 127

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 35051460250/(1x25)

LCM = 35051460250/25

LCM = 1402058410

Thus, we can understand that the LCM of 470,415,283,635 is 1402058410.

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

• LCM of 464, 296, 478, 162
• LCM of 331, 341, 518, 435
• LCM of 336, 399, 111, 578
• LCM of 844, 485, 545, 212
• LCM of 204, 317, 137, 191

1. What is the LCM of 470, 415, 283, 635?

Answer: LCM of 470, 415, 283, 635 is 1402058410.

2. How to calculate the LCM of 470, 415, 283, 635?

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, 415, 283, 635.

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}.