Given numbers are 859,688,214,642

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

The LCM of 859,688,214,642 is 189708432.

Find LCM of 859,688,214,642 with Prime Factorization

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

2 x 107 x 859 x 344 x 1 x 3 = 189708432

Therefore, the lowest common multiple of 859,688,214,642 is 189708432.

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.

859 x 688 x 214 x 642 = 81195208896

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.

859 : 1, 859

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

214 : 1, 2, 107, 214

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,688,214,642, is 1.

Now, the common factors can be found like this.

859:859

688:2x 2x 2x 2x 43

214:2x 107

642:2x 3x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 81195208896/(1x428)

LCM = 81195208896/428

LCM = 189708432

Thus, we can understand that the LCM of 859,688,214,642 is 189708432.

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

• LCM of 781, 874, 933, 167
• LCM of 149, 900, 365, 397
• LCM of 555, 177, 779, 343
• LCM of 494, 140, 851, 482
• LCM of 707, 259, 565, 130

1. What is the LCM of 859, 688, 214, 642?

Answer: LCM of 859, 688, 214, 642 is 189708432.

2. How to calculate the LCM of 859, 688, 214, 642?

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 859, 688, 214, 642.

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}.