Given numbers are 642,541,234,214

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

The LCM of 642,541,234,214 is 13545558.

Find LCM of 642,541,234,214 with Prime Factorization

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

2 x 3 x 107 x 1 x 541 x 39 x 1 = 13545558

Therefore, the lowest common multiple of 642,541,234,214 is 13545558.

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 541 x 234 x 214 = 17392496472

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

541 : 1, 541

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,541,234,214, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

541:541

234:2x 3x 3x 13

214:2x 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 3x 107 = 1284

Therefore, the value for common factors is 1284.

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 = 17392496472/(1x1284)

LCM = 17392496472/1284

LCM = 13545558

Thus, we can understand that the LCM of 642,541,234,214 is 13545558.

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

• LCM of 701, 405, 118, 106
• LCM of 316, 171, 940, 704
• LCM of 225, 648, 864, 664
• LCM of 855, 780, 111, 589
• LCM of 745, 684, 771, 856

1. What is the LCM of 642, 541, 234, 214?

Answer: LCM of 642, 541, 234, 214 is 13545558.

2. How to calculate the LCM of 642, 541, 234, 214?

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, 541, 234, 214.

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}.