Given numbers are 628,460,912,713,917

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

The LCM of 628,460,912,713,917 is 468083530320.

Find LCM of 628,460,912,713,917 with Prime Factorization

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

2 x 2 x 23 x 157 x 5 x 228 x 31 x 917 = 468083530320

Therefore, the lowest common multiple of 628,460,912,713,917 is 468083530320.

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 912 x 713 x 917 = 172254739157760

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

713 : 1, 23, 31, 713

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,460,912,713,917, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

460:2x 2x 5x 23

912:2x 2x 2x 2x 3x 19

713:23x 31

917:7x 131

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 23 = 368

Therefore, the value for common factors is 368.

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 = 172254739157760/(1x368)

LCM = 172254739157760/368

LCM = 468083530320

Thus, we can understand that the LCM of 628,460,912,713,917 is 468083530320.

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

• LCM of 686, 541, 662, 310, 499
• LCM of 890, 615, 690, 229, 563
• LCM of 610, 364, 874, 942, 978
• LCM of 482, 120, 426, 444, 108
• LCM of 111, 370, 249, 738, 407

1. What is the LCM of 628, 460, 912, 713, 917?

Answer: LCM of 628, 460, 912, 713, 917 is 468083530320.

2. How to calculate the LCM of 628, 460, 912, 713, 917?

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, 912, 713, 917.

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}.