Given numbers are 360,386,334,406

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

The LCM of 360,386,334,406 is 2355441480.

Find LCM of 360,386,334,406 with Prime Factorization

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

2 x 180 x 193 x 167 x 203 = 2355441480

Therefore, the lowest common multiple of 360,386,334,406 is 2355441480.

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 386 x 334 x 406 = 18843531840

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

386 : 1, 2, 193, 386

334 : 1, 2, 167, 334

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,386,334,406, is 2.

Now, the common factors can be found like this.

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

386:2x 193

334:2x 167

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18843531840/(2x4)

LCM = 18843531840/8

LCM = 2355441480

Thus, we can understand that the LCM of 360,386,334,406 is 2355441480.

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

• LCM of 329, 667, 620, 380
• LCM of 994, 229, 280, 293
• LCM of 719, 212, 793, 987
• LCM of 260, 701, 564, 676
• LCM of 836, 551, 297, 518

1. What is the LCM of 360, 386, 334, 406?

Answer: LCM of 360, 386, 334, 406 is 2355441480.

2. How to calculate the LCM of 360, 386, 334, 406?

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, 386, 334, 406.

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}.