Given numbers are 470,404,119,731

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

The LCM of 470,404,119,731 is 485807980.

Find LCM of 470,404,119,731 with Prime Factorization

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

2 x 17 x 235 x 202 x 7 x 43 = 485807980

Therefore, the lowest common multiple of 470,404,119,731 is 485807980.

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 404 x 119 x 731 = 16517471320

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

404 : 1, 2, 4, 101, 202, 404

119 : 1, 7, 17, 119

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,404,119,731, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

404:2x 2x 101

119:7x 17

731:17x 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 17 = 34

Therefore, the value for common factors is 34.

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 = 16517471320/(1x34)

LCM = 16517471320/34

LCM = 485807980

Thus, we can understand that the LCM of 470,404,119,731 is 485807980.

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

• LCM of 896, 815, 671, 667
• LCM of 354, 439, 515, 929
• LCM of 292, 140, 519, 426
• LCM of 244, 601, 102, 198
• LCM of 283, 369, 429, 564

1. What is the LCM of 470, 404, 119, 731?

Answer: LCM of 470, 404, 119, 731 is 485807980.

2. How to calculate the LCM of 470, 404, 119, 731?

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, 404, 119, 731.

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}.