Given numbers are 407,544,272,311

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

The LCM of 407,544,272,311 is 68857888.

Find LCM of 407,544,272,311 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 407 x 1 x 2 x 311 = 68857888

Therefore, the lowest common multiple of 407,544,272,311 is 68857888.

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.

407 x 544 x 272 x 311 = 18729345536

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.

407 : 1, 11, 37, 407

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,544,272,311, is 1.

Now, the common factors can be found like this.

407:11x 37

544:2x 2x 2x 2x 2x 17

272:2x 2x 2x 2x 17

311:311

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 17 = 272

Therefore, the value for common factors is 272.

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 = 18729345536/(1x272)

LCM = 18729345536/272

LCM = 68857888

Thus, we can understand that the LCM of 407,544,272,311 is 68857888.

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

• LCM of 345, 613, 153, 101
• LCM of 859, 680, 521, 331
• LCM of 904, 888, 828, 606
• LCM of 394, 208, 800, 126
• LCM of 477, 482, 848, 338

1. What is the LCM of 407, 544, 272, 311?

Answer: LCM of 407, 544, 272, 311 is 68857888.

2. How to calculate the LCM of 407, 544, 272, 311?

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 407, 544, 272, 311.

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}.