Given numbers are 542,102,628,460

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

The LCM of 542,102,628,460 is 998152620.

Find LCM of 542,102,628,460 with Prime Factorization

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

2 x 2 x 271 x 51 x 157 x 115 = 998152620

Therefore, the lowest common multiple of 542,102,628,460 is 998152620.

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 102 x 628 x 460 = 15970441920

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

628 : 1, 2, 4, 157, 314, 628

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,102,628,460, is 2.

Now, the common factors can be found like this.

542:2x 271

102:2x 3x 17

628:2x 2x 157

460:2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15970441920/(2x8)

LCM = 15970441920/16

LCM = 998152620

Thus, we can understand that the LCM of 542,102,628,460 is 998152620.

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

• LCM of 250, 423, 526, 527
• LCM of 716, 807, 564, 234
• LCM of 119, 351, 505, 843
• LCM of 699, 756, 247, 248
• LCM of 690, 964, 442, 235

1. What is the LCM of 542, 102, 628, 460?

Answer: LCM of 542, 102, 628, 460 is 998152620.

2. How to calculate the LCM of 542, 102, 628, 460?

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, 102, 628, 460.

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}.