Given numbers are 816,289,153

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

The LCM of 816,289,153 is 41616.

Find LCM of 816,289,153 with Prime Factorization

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

3 x 17 x 16 x 17 x 3 = 41616

Therefore, the lowest common multiple of 816,289,153 is 41616.

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 289 x 153 = 36081072

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

289 : 1, 17, 289

153 : 1, 3, 9, 17, 51, 153

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,289,153, is 17.

Now, the common factors can be found like this.

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

289:17x 17

153:3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 36081072/(17x51)

LCM = 36081072/867

LCM = 41616

Thus, we can understand that the LCM of 816,289,153 is 41616.

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

• LCM of 108, 168, 378
• LCM of 721, 630, 449
• LCM of 477, 191, 676
• LCM of 418, 598, 468
• LCM of 536, 928, 527

1. What is the LCM of 816, 289, 153?

Answer: LCM of 816, 289, 153 is 41616.

2. How to calculate the LCM of 816, 289, 153?

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, 289, 153.

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}.