Given numbers are 360,646,628,248,393

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

The LCM of 360,646,628,248,393 is 74137453560.

Find LCM of 360,646,628,248,393 with Prime Factorization

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

2 x 2 x 2 x 3 x 15 x 323 x 157 x 31 x 131 = 74137453560

Therefore, the lowest common multiple of 360,646,628,248,393 is 74137453560.

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.

360 x 646 x 628 x 248 x 393 = 14234391083520

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,646,628,248,393, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

646:2x 17x 19

628:2x 2x 157

248:2x 2x 2x 31

393:3x 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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 14234391083520/(1x192)

LCM = 14234391083520/192

LCM = 74137453560

Thus, we can understand that the LCM of 360,646,628,248,393 is 74137453560.

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

• LCM of 973, 844, 273, 571, 874
• LCM of 723, 298, 610, 415, 824
• LCM of 582, 881, 676, 863, 538
• LCM of 128, 867, 375, 597, 267
• LCM of 301, 716, 873, 785, 885

1. What is the LCM of 360, 646, 628, 248, 393?

Answer: LCM of 360, 646, 628, 248, 393 is 74137453560.

2. How to calculate the LCM of 360, 646, 628, 248, 393?

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 360, 646, 628, 248, 393.

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}.