Given numbers are 542,173,518,506,814

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

The LCM of 542,173,518,506,814 is 6144204682.

Find LCM of 542,173,518,506,814 with Prime Factorization

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

2 x 11 x 37 x 271 x 173 x 7 x 23 x 1 = 6144204682

Therefore, the lowest common multiple of 542,173,518,506,814 is 6144204682.

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 173 x 518 x 506 x 814 = 20005530444592

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

173 : 1, 173

518 : 1, 2, 7, 14, 37, 74, 259, 518

506 : 1, 2, 11, 22, 23, 46, 253, 506

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,173,518,506,814, is 1.

Now, the common factors can be found like this.

542:2x 271

173:173

518:2x 7x 37

506:2x 11x 23

814:2x 11x 37

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 2x 11x 37 = 3256

Therefore, the value for common factors is 3256.

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 = 20005530444592/(1x3256)

LCM = 20005530444592/3256

LCM = 6144204682

Thus, we can understand that the LCM of 542,173,518,506,814 is 6144204682.

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

• LCM of 509, 213, 347, 443, 656
• LCM of 312, 262, 415, 575, 688
• LCM of 595, 764, 261, 666, 788
• LCM of 267, 298, 573, 888, 875
• LCM of 173, 500, 241, 185, 142

1. What is the LCM of 542, 173, 518, 506, 814?

Answer: LCM of 542, 173, 518, 506, 814 is 6144204682.

2. How to calculate the LCM of 542, 173, 518, 506, 814?

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, 173, 518, 506, 814.

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}.