Given numbers are 368,460,271,415

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

The LCM of 368,460,271,415 is 41387120.

Find LCM of 368,460,271,415 with Prime Factorization

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

2 x 2 x 5 x 23 x 4 x 1 x 271 x 83 = 41387120

Therefore, the lowest common multiple of 368,460,271,415 is 41387120.

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.

368 x 460 x 271 x 415 = 19038075200

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

271 : 1, 271

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,460,271,415, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

460:2x 2x 5x 23

271:271

415:5x 83

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 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 19038075200/(1x460)

LCM = 19038075200/460

LCM = 41387120

Thus, we can understand that the LCM of 368,460,271,415 is 41387120.

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

• LCM of 791, 279, 592, 641
• LCM of 292, 497, 292, 860
• LCM of 980, 982, 610, 240
• LCM of 516, 827, 751, 456
• LCM of 135, 373, 905, 123

1. What is the LCM of 368, 460, 271, 415?

Answer: LCM of 368, 460, 271, 415 is 41387120.

2. How to calculate the LCM of 368, 460, 271, 415?

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 368, 460, 271, 415.

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}.