Given numbers are 542,716,810,214

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

The LCM of 542,716,810,214 is 8408550060.

Find LCM of 542,716,810,214 with Prime Factorization

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

2 x 271 x 358 x 405 x 107 = 8408550060

Therefore, the lowest common multiple of 542,716,810,214 is 8408550060.

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.

542 x 716 x 810 x 214 = 67268400480

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.

542 : 1, 2, 271, 542

716 : 1, 2, 4, 179, 358, 716

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,716,810,214, is 2.

Now, the common factors can be found like this.

542:2x 271

716:2x 2x 179

810:2x 3x 3x 3x 3x 5

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 2 = 4

Therefore, the value for common factors is 4.

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 = 67268400480/(2x4)

LCM = 67268400480/8

LCM = 8408550060

Thus, we can understand that the LCM of 542,716,810,214 is 8408550060.

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

• LCM of 249, 980, 569, 170
• LCM of 174, 116, 374, 548
• LCM of 898, 825, 110, 128
• LCM of 279, 510, 779, 696
• LCM of 738, 157, 415, 581

1. What is the LCM of 542, 716, 810, 214?

Answer: LCM of 542, 716, 810, 214 is 8408550060.

2. How to calculate the LCM of 542, 716, 810, 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 542, 716, 810, 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}.