Given numbers are 688,926,214,387

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

The LCM of 688,926,214,387 is 306757872.

Find LCM of 688,926,214,387 with Prime Factorization

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

2 x 43 x 8 x 463 x 107 x 9 = 306757872

Therefore, the lowest common multiple of 688,926,214,387 is 306757872.

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 926 x 214 x 387 = 52762353984

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

926 : 1, 2, 463, 926

214 : 1, 2, 107, 214

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,926,214,387, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

926:2x 463

214:2x 107

387:3x 3x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 52762353984/(1x172)

LCM = 52762353984/172

LCM = 306757872

Thus, we can understand that the LCM of 688,926,214,387 is 306757872.

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

• LCM of 707, 531, 333, 345
• LCM of 969, 374, 259, 486
• LCM of 727, 226, 123, 454
• LCM of 567, 692, 185, 461
• LCM of 980, 489, 957, 653

1. What is the LCM of 688, 926, 214, 387?

Answer: LCM of 688, 926, 214, 387 is 306757872.

2. How to calculate the LCM of 688, 926, 214, 387?

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, 926, 214, 387.

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}.