Given numbers are 628,460,612,740,706

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

The LCM of 628,460,612,740,706 is 144319609260.

Find LCM of 628,460,612,740,706 with Prime Factorization

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

2 x 2 x 5 x 157 x 23 x 153 x 37 x 353 = 144319609260

Therefore, the lowest common multiple of 628,460,612,740,706 is 144319609260.

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.

628 x 460 x 612 x 740 x 706 = 92364549926400

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.

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

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,460,612,740,706, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

460:2x 2x 5x 23

612:2x 2x 3x 3x 17

740:2x 2x 5x 37

706:2x 353

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 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 92364549926400/(2x320)

LCM = 92364549926400/640

LCM = 144319609260

Thus, we can understand that the LCM of 628,460,612,740,706 is 144319609260.

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

• LCM of 914, 944, 673, 378, 819
• LCM of 642, 710, 932, 445, 499
• LCM of 957, 259, 632, 588, 944
• LCM of 241, 828, 267, 770, 500
• LCM of 193, 104, 811, 283, 962

1. What is the LCM of 628, 460, 612, 740, 706?

Answer: LCM of 628, 460, 612, 740, 706 is 144319609260.

2. How to calculate the LCM of 628, 460, 612, 740, 706?

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 628, 460, 612, 740, 706.

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}.