Given numbers are 114,541,514,558,742

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

The LCM of 114,541,514,558,742 is 546880071654.

Find LCM of 114,541,514,558,742 with Prime Factorization

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

2 x 3 x 19 x 541 x 257 x 93 x 371 = 546880071654

Therefore, the lowest common multiple of 114,541,514,558,742 is 546880071654.

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.

114 x 541 x 514 x 558 x 742 = 13125121719696

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

541 : 1, 541

514 : 1, 2, 257, 514

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,541,514,558,742, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

541:541

514:2x 257

558:2x 3x 3x 31

742:2x 7x 53

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 3 = 24

Therefore, the value for common factors is 24.

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 = 13125121719696/(1x24)

LCM = 13125121719696/24

LCM = 546880071654

Thus, we can understand that the LCM of 114,541,514,558,742 is 546880071654.

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

• LCM of 203, 188, 207, 270, 975
• LCM of 901, 242, 171, 609, 582
• LCM of 795, 794, 398, 414, 990
• LCM of 731, 827, 886, 849, 805
• LCM of 426, 292, 131, 964, 200

1. What is the LCM of 114, 541, 514, 558, 742?

Answer: LCM of 114, 541, 514, 558, 742 is 546880071654.

2. How to calculate the LCM of 114, 541, 514, 558, 742?

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 114, 541, 514, 558, 742.

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}.