Given numbers are 493,708,132,816

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

The LCM of 493,708,132,816 is 15357936.

Find LCM of 493,708,132,816 with Prime Factorization

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

2 x 2 x 3 x 17 x 29 x 59 x 11 x 4 = 15357936

Therefore, the lowest common multiple of 493,708,132,816 is 15357936.

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.

493 x 708 x 132 x 816 = 37596227328

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.

493 : 1, 17, 29, 493

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,708,132,816, is 1.

Now, the common factors can be found like this.

493:17x 29

708:2x 2x 3x 59

132:2x 2x 3x 11

816:2x 2x 2x 2x 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.

2x 2x 2x 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 37596227328/(1x2448)

LCM = 37596227328/2448

LCM = 15357936

Thus, we can understand that the LCM of 493,708,132,816 is 15357936.

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

• LCM of 371, 304, 233, 450
• LCM of 301, 340, 462, 410
• LCM of 443, 656, 312, 303
• LCM of 122, 288, 196, 552
• LCM of 188, 195, 693, 478

1. What is the LCM of 493, 708, 132, 816?

Answer: LCM of 493, 708, 132, 816 is 15357936.

2. How to calculate the LCM of 493, 708, 132, 816?

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 493, 708, 132, 816.

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}.