Given numbers are 816,975,780,203,829

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

The LCM of 816,975,780,203,829 is 44629712400.

Find LCM of 816,975,780,203,829 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 68 x 1 x 5 x 203 x 829 = 44629712400

Therefore, the lowest common multiple of 816,975,780,203,829 is 44629712400.

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.

816 x 975 x 780 x 203 x 829 = 104433527016000

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

203 : 1, 7, 29, 203

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,975,780,203,829, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

975:3x 5x 5x 13

780:2x 2x 3x 5x 13

203:7x 29

829:829

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 3x 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 104433527016000/(1x2340)

LCM = 104433527016000/2340

LCM = 44629712400

Thus, we can understand that the LCM of 816,975,780,203,829 is 44629712400.

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

• LCM of 217, 459, 495, 114, 943
• LCM of 677, 601, 185, 171, 246
• LCM of 304, 532, 965, 797, 319
• LCM of 783, 227, 981, 429, 517
• LCM of 938, 233, 838, 613, 590

1. What is the LCM of 816, 975, 780, 203, 829?

Answer: LCM of 816, 975, 780, 203, 829 is 44629712400.

2. How to calculate the LCM of 816, 975, 780, 203, 829?

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 816, 975, 780, 203, 829.

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}.