Given numbers are 416,396,674,837,364

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

The LCM of 416,396,674,837,364 is 9035234208.

Find LCM of 416,396,674,837,364 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 8 x 11 x 337 x 93 x 7 = 9035234208

Therefore, the lowest common multiple of 416,396,674,837,364 is 9035234208.

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.

416 x 396 x 674 x 837 x 364 = 33827916874752

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

674 : 1, 2, 337, 674

837 : 1, 3, 9, 27, 31, 93, 279, 837

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,396,674,837,364, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

396:2x 2x 3x 3x 11

674:2x 337

837:3x 3x 3x 31

364:2x 2x 7x 13

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 13 = 3744

Therefore, the value for common factors is 3744.

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 = 33827916874752/(1x3744)

LCM = 33827916874752/3744

LCM = 9035234208

Thus, we can understand that the LCM of 416,396,674,837,364 is 9035234208.

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

• LCM of 254, 657, 491, 870, 895
• LCM of 580, 790, 215, 625, 665
• LCM of 302, 321, 568, 439, 246
• LCM of 907, 964, 296, 503, 155
• LCM of 951, 708, 538, 188, 677

1. What is the LCM of 416, 396, 674, 837, 364?

Answer: LCM of 416, 396, 674, 837, 364 is 9035234208.

2. How to calculate the LCM of 416, 396, 674, 837, 364?

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 416, 396, 674, 837, 364.

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}.