Given numbers are 816,316,467,281,114

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

The LCM of 816,316,467,281,114 is 160728929232.

Find LCM of 816,316,467,281,114 with Prime Factorization

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

2 x 2 x 3 x 68 x 79 x 467 x 281 x 19 = 160728929232

Therefore, the lowest common multiple of 816,316,467,281,114 is 160728929232.

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 316 x 467 x 281 x 114 = 3857494301568

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

316 : 1, 2, 4, 79, 158, 316

467 : 1, 467

281 : 1, 281

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,316,467,281,114, is 1.

Now, the common factors can be found like this.

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

316:2x 2x 79

467:467

281:281

114:2x 3x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3857494301568/(1x24)

LCM = 3857494301568/24

LCM = 160728929232

Thus, we can understand that the LCM of 816,316,467,281,114 is 160728929232.

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

• LCM of 862, 321, 712, 491, 149
• LCM of 492, 470, 162, 918, 970
• LCM of 718, 550, 243, 219, 268
• LCM of 274, 943, 881, 746, 940
• LCM of 855, 167, 470, 989, 260

1. What is the LCM of 816, 316, 467, 281, 114?

Answer: LCM of 816, 316, 467, 281, 114 is 160728929232.

2. How to calculate the LCM of 816, 316, 467, 281, 114?

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, 316, 467, 281, 114.

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}.