Given numbers are 738,491,828,342,900

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

The LCM of 738,491,828,342,900 is 7917522300.

Find LCM of 738,491,828,342,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 41 x 491 x 23 x 19 x 25 = 7917522300

Therefore, the lowest common multiple of 738,491,828,342,900 is 7917522300.

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.

738 x 491 x 828 x 342 x 900 = 92349980107200

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

491 : 1, 491

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,491,828,342,900, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

491:491

828:2x 2x 3x 3x 23

342:2x 3x 3x 19

900:2x 2x 3x 3x 5x 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 2x 3x 3x 3x 3x 3x 3 = 11664

Therefore, the value for common factors is 11664.

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 = 92349980107200/(1x11664)

LCM = 92349980107200/11664

LCM = 7917522300

Thus, we can understand that the LCM of 738,491,828,342,900 is 7917522300.

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

• LCM of 680, 645, 788, 677, 737
• LCM of 580, 328, 522, 824, 942
• LCM of 835, 495, 819, 351, 673
• LCM of 200, 406, 427, 917, 560
• LCM of 750, 655, 765, 917, 893

1. What is the LCM of 738, 491, 828, 342, 900?

Answer: LCM of 738, 491, 828, 342, 900 is 7917522300.

2. How to calculate the LCM of 738, 491, 828, 342, 900?

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 738, 491, 828, 342, 900.

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}.