Given numbers are 642,110,214,780

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

The LCM of 642,110,214,780 is 918060.

Find LCM of 642,110,214,780 with Prime Factorization

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

2 x 3 x 5 x 107 x 1 x 11 x 1 x 26 = 918060

Therefore, the lowest common multiple of 642,110,214,780 is 918060.

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.

642 x 110 x 214 x 780 = 11787890400

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.

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

214 : 1, 2, 107, 214

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,110,214,780, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

110:2x 5x 11

214:2x 107

780:2x 2x 3x 5x 13

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 3x 5x 107 = 6420

Therefore, the value for common factors is 6420.

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 = 11787890400/(2x6420)

LCM = 11787890400/12840

LCM = 918060

Thus, we can understand that the LCM of 642,110,214,780 is 918060.

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

• LCM of 886, 941, 372, 531
• LCM of 108, 973, 975, 351
• LCM of 112, 236, 196, 407
• LCM of 664, 259, 517, 568
• LCM of 864, 667, 760, 806

1. What is the LCM of 642, 110, 214, 780?

Answer: LCM of 642, 110, 214, 780 is 918060.

2. How to calculate the LCM of 642, 110, 214, 780?

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 642, 110, 214, 780.

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}.