Given numbers are 836,407,738,924,516

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

The LCM of 836,407,738,924,516 is 3435586308.

Find LCM of 836,407,738,924,516 with Prime Factorization

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

2 x 2 x 3 x 11 x 19 x 37 x 123 x 7 x 43 = 3435586308

Therefore, the lowest common multiple of 836,407,738,924,516 is 3435586308.

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.

836 x 407 x 738 x 924 x 516 = 119723311661184

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

407 : 1, 11, 37, 407

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,407,738,924,516, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

407:11x 37

738:2x 3x 3x 41

924:2x 2x 3x 7x 11

516:2x 2x 3x 43

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 3x 3x 11x 11 = 34848

Therefore, the value for common factors is 34848.

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 = 119723311661184/(1x34848)

LCM = 119723311661184/34848

LCM = 3435586308

Thus, we can understand that the LCM of 836,407,738,924,516 is 3435586308.

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

• LCM of 374, 263, 823, 464, 674
• LCM of 713, 895, 500, 752, 217
• LCM of 347, 766, 635, 260, 552
• LCM of 388, 760, 698, 304, 105
• LCM of 323, 576, 221, 353, 192

1. What is the LCM of 836, 407, 738, 924, 516?

Answer: LCM of 836, 407, 738, 924, 516 is 3435586308.

2. How to calculate the LCM of 836, 407, 738, 924, 516?

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 836, 407, 738, 924, 516.

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}.