Given numbers are 688,258,989,418

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

The LCM of 688,258,989,418 is 9921648.

Find LCM of 688,258,989,418 with Prime Factorization

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

2 x 43 x 8 x 3 x 23 x 209 = 9921648

Therefore, the lowest common multiple of 688,258,989,418 is 9921648.

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 258 x 989 x 418 = 73380508608

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

989 : 1, 23, 43, 989

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,258,989,418, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

258:2x 3x 43

989:23x 43

418:2x 11x 19

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 43x 43 = 7396

Therefore, the value for common factors is 7396.

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 = 73380508608/(1x7396)

LCM = 73380508608/7396

LCM = 9921648

Thus, we can understand that the LCM of 688,258,989,418 is 9921648.

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

• LCM of 261, 679, 428, 122
• LCM of 482, 598, 792, 504
• LCM of 517, 443, 839, 859
• LCM of 168, 487, 588, 814
• LCM of 373, 590, 960, 451

1. What is the LCM of 688, 258, 989, 418?

Answer: LCM of 688, 258, 989, 418 is 9921648.

2. How to calculate the LCM of 688, 258, 989, 418?

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, 258, 989, 418.

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}.