Given numbers are 363,367,720,214

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

The LCM of 363,367,720,214 is 3421115280.

Find LCM of 363,367,720,214 with Prime Factorization

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

2 x 3 x 121 x 367 x 120 x 107 = 3421115280

Therefore, the lowest common multiple of 363,367,720,214 is 3421115280.

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.

363 x 367 x 720 x 214 = 20526691680

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.

363 : 1, 3, 11, 33, 121, 363

367 : 1, 367

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,367,720,214, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

367:367

720:2x 2x 2x 2x 3x 3x 5

214:2x 107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 20526691680/(1x6)

LCM = 20526691680/6

LCM = 3421115280

Thus, we can understand that the LCM of 363,367,720,214 is 3421115280.

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

• LCM of 275, 809, 578, 618
• LCM of 768, 391, 968, 535
• LCM of 360, 179, 357, 858
• LCM of 206, 914, 979, 568
• LCM of 472, 834, 944, 701

1. What is the LCM of 363, 367, 720, 214?

Answer: LCM of 363, 367, 720, 214 is 3421115280.

2. How to calculate the LCM of 363, 367, 720, 214?

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 363, 367, 720, 214.

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}.