Given numbers are 396,506,360,374

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

The LCM of 396,506,360,374 is 1548360.

Find LCM of 396,506,360,374 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 1 x 23 x 10 x 17 = 1548360

Therefore, the lowest common multiple of 396,506,360,374 is 1548360.

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.

396 x 506 x 360 x 374 = 26978624640

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,506,360,374, is 2.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

506:2x 11x 23

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

374:2x 11x 17

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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 26978624640/(2x8712)

LCM = 26978624640/17424

LCM = 1548360

Thus, we can understand that the LCM of 396,506,360,374 is 1548360.

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

• LCM of 922, 816, 385, 511
• LCM of 255, 742, 245, 448
• LCM of 287, 390, 954, 320
• LCM of 205, 782, 627, 372
• LCM of 549, 304, 986, 513

1. What is the LCM of 396, 506, 360, 374?

Answer: LCM of 396, 506, 360, 374 is 1548360.

2. How to calculate the LCM of 396, 506, 360, 374?

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 396, 506, 360, 374.

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}.