Given numbers are 312,364,362,214,520

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

The LCM of 312,364,362,214,520 is 211487640.

Find LCM of 312,364,362,214,520 with Prime Factorization

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

2 x 2 x 2 x 13 x 3 x 7 x 181 x 107 x 5 = 211487640

Therefore, the lowest common multiple of 312,364,362,214,520 is 211487640.

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.

312 x 364 x 362 x 214 x 520 = 4574900628480

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

362 : 1, 2, 181, 362

214 : 1, 2, 107, 214

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,364,362,214,520, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

364:2x 2x 7x 13

362:2x 181

214:2x 107

520:2x 2x 2x 5x 13

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 2x 2x 13x 13 = 10816

Therefore, the value for common factors is 10816.

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 = 4574900628480/(2x10816)

LCM = 4574900628480/21632

LCM = 211487640

Thus, we can understand that the LCM of 312,364,362,214,520 is 211487640.

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

• LCM of 536, 992, 823, 439, 647
• LCM of 641, 749, 786, 858, 378
• LCM of 898, 706, 204, 302, 225
• LCM of 108, 151, 915, 691, 123
• LCM of 482, 911, 618, 768, 253

1. What is the LCM of 312, 364, 362, 214, 520?

Answer: LCM of 312, 364, 362, 214, 520 is 211487640.

2. How to calculate the LCM of 312, 364, 362, 214, 520?

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 312, 364, 362, 214, 520.

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}.