Given numbers are 916,533,816,420,990

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

The LCM of 916,533,816,420,990 is 115036281360.

Find LCM of 916,533,816,420,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 229 x 533 x 68 x 7 x 33 = 115036281360

Therefore, the lowest common multiple of 916,533,816,420,990 is 115036281360.

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.

916 x 533 x 816 x 420 x 990 = 165652245158400

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.

916 : 1, 2, 4, 229, 458, 916

533 : 1, 13, 41, 533

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,533,816,420,990, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

533:13x 41

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

420:2x 2x 3x 5x 7

990:2x 3x 3x 5x 11

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 5 = 1440

Therefore, the value for common factors is 1440.

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 = 165652245158400/(1x1440)

LCM = 165652245158400/1440

LCM = 115036281360

Thus, we can understand that the LCM of 916,533,816,420,990 is 115036281360.

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

• LCM of 839, 604, 811, 600, 243
• LCM of 458, 898, 921, 149, 744
• LCM of 370, 279, 252, 273, 649
• LCM of 229, 187, 225, 553, 610
• LCM of 322, 931, 804, 869, 457

1. What is the LCM of 916, 533, 816, 420, 990?

Answer: LCM of 916, 533, 816, 420, 990 is 115036281360.

2. How to calculate the LCM of 916, 533, 816, 420, 990?

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 916, 533, 816, 420, 990.

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}.