Given numbers are 460,370,421,286

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

The LCM of 460,370,421,286 is 1024655060.

Find LCM of 460,370,421,286 with Prime Factorization

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

2 x 5 x 46 x 37 x 421 x 143 = 1024655060

Therefore, the lowest common multiple of 460,370,421,286 is 1024655060.

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.

460 x 370 x 421 x 286 = 20493101200

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.

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

421 : 1, 421

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,370,421,286, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

370:2x 5x 37

421:421

286:2x 11x 13

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 5 = 20

Therefore, the value for common factors is 20.

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 = 20493101200/(1x20)

LCM = 20493101200/20

LCM = 1024655060

Thus, we can understand that the LCM of 460,370,421,286 is 1024655060.

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

• LCM of 262, 663, 404, 221
• LCM of 768, 724, 877, 269
• LCM of 470, 790, 804, 555
• LCM of 593, 332, 250, 101
• LCM of 890, 331, 636, 124

1. What is the LCM of 460, 370, 421, 286?

Answer: LCM of 460, 370, 421, 286 is 1024655060.

2. How to calculate the LCM of 460, 370, 421, 286?

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 460, 370, 421, 286.

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}.