Given numbers are 507,440,454,686,284

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

The LCM of 507,440,454,686,284 is 1233215463480.

Find LCM of 507,440,454,686,284 with Prime Factorization

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

2 x 2 x 507 x 110 x 227 x 343 x 71 = 1233215463480

Therefore, the lowest common multiple of 507,440,454,686,284 is 1233215463480.

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.

507 x 440 x 454 x 686 x 284 = 19731447415680

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.

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

454 : 1, 2, 227, 454

686 : 1, 2, 7, 14, 49, 98, 343, 686

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 507,440,454,686,284, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

440:2x 2x 2x 5x 11

454:2x 227

686:2x 7x 7x 7

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 19731447415680/(1x16)

LCM = 19731447415680/16

LCM = 1233215463480

Thus, we can understand that the LCM of 507,440,454,686,284 is 1233215463480.

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

• LCM of 292, 216, 301, 770, 612
• LCM of 421, 821, 441, 418, 946
• LCM of 847, 892, 692, 501, 893
• LCM of 188, 440, 699, 998, 964
• LCM of 696, 550, 535, 424, 928

1. What is the LCM of 507, 440, 454, 686, 284?

Answer: LCM of 507, 440, 454, 686, 284 is 1233215463480.

2. How to calculate the LCM of 507, 440, 454, 686, 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 507, 440, 454, 686, 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}.