Given numbers are 688,643,944,149

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

The LCM of 688,643,944,149 is 3888997744.

Find LCM of 688,643,944,149 with Prime Factorization

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

2 x 2 x 2 x 2 x 43 x 643 x 59 x 149 = 3888997744

Therefore, the lowest common multiple of 688,643,944,149 is 3888997744.

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 643 x 944 x 149 = 62223963904

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

643 : 1, 643

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,643,944,149, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

643:643

944:2x 2x 2x 2x 59

149:149

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 = 62223963904/(1x16)

LCM = 62223963904/16

LCM = 3888997744

Thus, we can understand that the LCM of 688,643,944,149 is 3888997744.

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

• LCM of 553, 198, 610, 335
• LCM of 211, 856, 574, 890
• LCM of 104, 381, 766, 811
• LCM of 114, 637, 886, 911
• LCM of 816, 725, 267, 237

1. What is the LCM of 688, 643, 944, 149?

Answer: LCM of 688, 643, 944, 149 is 3888997744.

2. How to calculate the LCM of 688, 643, 944, 149?

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, 643, 944, 149.

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}.