Given numbers are 688,658,418,284

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

The LCM of 688,658,418,284 is 3358837328.

Find LCM of 688,658,418,284 with Prime Factorization

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

2 x 2 x 172 x 329 x 209 x 71 = 3358837328

Therefore, the lowest common multiple of 688,658,418,284 is 3358837328.

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.

688 x 658 x 418 x 284 = 53741397248

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

658 : 1, 2, 7, 14, 47, 94, 329, 658

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,658,418,284, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

658:2x 7x 47

418:2x 11x 19

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 = 53741397248/(2x8)

LCM = 53741397248/16

LCM = 3358837328

Thus, we can understand that the LCM of 688,658,418,284 is 3358837328.

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

• LCM of 974, 612, 456, 441
• LCM of 285, 429, 341, 384
• LCM of 469, 615, 673, 880
• LCM of 481, 663, 204, 223
• LCM of 294, 993, 830, 768

1. What is the LCM of 688, 658, 418, 284?

Answer: LCM of 688, 658, 418, 284 is 3358837328.

2. How to calculate the LCM of 688, 658, 418, 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 688, 658, 418, 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}.