Given numbers are 283,507,460,221,487

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

The LCM of 283,507,460,221,487 is 546424431540.

Find LCM of 283,507,460,221,487 with Prime Factorization

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

13 x 283 x 39 x 460 x 17 x 487 = 546424431540

Therefore, the lowest common multiple of 283,507,460,221,487 is 546424431540.

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.

283 x 507 x 460 x 221 x 487 = 7103517610020

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.

283 : 1, 283

507 : 1, 3, 13, 39, 169, 507

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

221 : 1, 13, 17, 221

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,507,460,221,487, is 1.

Now, the common factors can be found like this.

283:283

507:3x 13x 13

460:2x 2x 5x 23

221:13x 17

487:487

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

13 = 13

Therefore, the value for common factors is 13.

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 = 7103517610020/(1x13)

LCM = 7103517610020/13

LCM = 546424431540

Thus, we can understand that the LCM of 283,507,460,221,487 is 546424431540.

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

• LCM of 138, 694, 747, 633, 159
• LCM of 532, 178, 951, 786, 321
• LCM of 419, 724, 591, 828, 379
• LCM of 221, 462, 575, 352, 260
• LCM of 732, 906, 902, 322, 852

1. What is the LCM of 283, 507, 460, 221, 487?

Answer: LCM of 283, 507, 460, 221, 487 is 546424431540.

2. How to calculate the LCM of 283, 507, 460, 221, 487?

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 283, 507, 460, 221, 487.

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}.