Given numbers are 311,381,257,156,360

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

The LCM of 311,381,257,156,360 is 47505411720.

Find LCM of 311,381,257,156,360 with Prime Factorization

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

2 x 2 x 3 x 311 x 127 x 257 x 13 x 30 = 47505411720

Therefore, the lowest common multiple of 311,381,257,156,360 is 47505411720.

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.

311 x 381 x 257 x 156 x 360 = 1710194821920

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.

311 : 1, 311

381 : 1, 3, 127, 381

257 : 1, 257

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,381,257,156,360, is 1.

Now, the common factors can be found like this.

311:311

381:3x 127

257:257

156:2x 2x 3x 13

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

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 1710194821920/(1x36)

LCM = 1710194821920/36

LCM = 47505411720

Thus, we can understand that the LCM of 311,381,257,156,360 is 47505411720.

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

• LCM of 940, 205, 347, 138, 476
• LCM of 954, 924, 930, 221, 712
• LCM of 870, 534, 661, 858, 453
• LCM of 916, 181, 847, 224, 917
• LCM of 839, 137, 408, 970, 344

1. What is the LCM of 311, 381, 257, 156, 360?

Answer: LCM of 311, 381, 257, 156, 360 is 47505411720.

2. How to calculate the LCM of 311, 381, 257, 156, 360?

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 311, 381, 257, 156, 360.

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}.