Given numbers are 499,214,756,437,120

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

The LCM of 499,214,756,437,120 is 176395521960.

Find LCM of 499,214,756,437,120 with Prime Factorization

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

2 x 2 x 3 x 499 x 107 x 63 x 437 x 10 = 176395521960

Therefore, the lowest common multiple of 499,214,756,437,120 is 176395521960.

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.

499 x 214 x 756 x 437 x 120 = 4233492527040

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.

499 : 1, 499

214 : 1, 2, 107, 214

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

437 : 1, 19, 23, 437

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,214,756,437,120, is 1.

Now, the common factors can be found like this.

499:499

214:2x 107

756:2x 2x 3x 3x 3x 7

437:19x 23

120:2x 2x 2x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 4233492527040/(1x24)

LCM = 4233492527040/24

LCM = 176395521960

Thus, we can understand that the LCM of 499,214,756,437,120 is 176395521960.

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

• LCM of 360, 446, 614, 425, 891
• LCM of 939, 597, 164, 133, 873
• LCM of 246, 179, 508, 108, 477
• LCM of 936, 531, 517, 600, 240
• LCM of 145, 694, 645, 465, 189

1. What is the LCM of 499, 214, 756, 437, 120?

Answer: LCM of 499, 214, 756, 437, 120 is 176395521960.

2. How to calculate the LCM of 499, 214, 756, 437, 120?

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 499, 214, 756, 437, 120.

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}.