Given numbers are 407,460,298,284

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

The LCM of 407,460,298,284 is 1980600380.

Find LCM of 407,460,298,284 with Prime Factorization

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

2 x 2 x 407 x 115 x 149 x 71 = 1980600380

Therefore, the lowest common multiple of 407,460,298,284 is 1980600380.

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.

407 x 460 x 298 x 284 = 15844803040

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.

407 : 1, 11, 37, 407

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

298 : 1, 2, 149, 298

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,460,298,284, is 1.

Now, the common factors can be found like this.

407:11x 37

460:2x 2x 5x 23

298:2x 149

284:2x 2x 71

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15844803040/(1x8)

LCM = 15844803040/8

LCM = 1980600380

Thus, we can understand that the LCM of 407,460,298,284 is 1980600380.

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

• LCM of 939, 857, 945, 514
• LCM of 162, 843, 467, 103
• LCM of 941, 226, 370, 663
• LCM of 535, 680, 983, 994
• LCM of 336, 850, 441, 282

1. What is the LCM of 407, 460, 298, 284?

Answer: LCM of 407, 460, 298, 284 is 1980600380.

2. How to calculate the LCM of 407, 460, 298, 284?

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 407, 460, 298, 284.

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}.