Given numbers are 816,208,135,436,119

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

The LCM of 816,208,135,436,119 is 364225680.

Find LCM of 816,208,135,436,119 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 1 x 13 x 45 x 109 x 7 = 364225680

Therefore, the lowest common multiple of 816,208,135,436,119 is 364225680.

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 208 x 135 x 436 x 119 = 1188832619520

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

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

436 : 1, 2, 4, 109, 218, 436

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,208,135,436,119, is 1.

Now, the common factors can be found like this.

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

208:2x 2x 2x 2x 13

135:3x 3x 3x 5

436:2x 2x 109

119:7x 17

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 2x 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 1188832619520/(1x3264)

LCM = 1188832619520/3264

LCM = 364225680

Thus, we can understand that the LCM of 816,208,135,436,119 is 364225680.

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

• LCM of 231, 505, 707, 328, 498
• LCM of 691, 579, 942, 805, 593
• LCM of 213, 842, 205, 407, 230
• LCM of 333, 248, 392, 286, 836
• LCM of 211, 947, 567, 227, 114

1. What is the LCM of 816, 208, 135, 436, 119?

Answer: LCM of 816, 208, 135, 436, 119 is 364225680.

2. How to calculate the LCM of 816, 208, 135, 436, 119?

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, 208, 135, 436, 119.

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}.