Given numbers are 395,326,121,290,816

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

The LCM of 395,326,121,290,816 is 184356403440.

Find LCM of 395,326,121,290,816 with Prime Factorization

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

2 x 5 x 79 x 163 x 121 x 29 x 408 = 184356403440

Therefore, the lowest common multiple of 395,326,121,290,816 is 184356403440.

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.

395 x 326 x 121 x 290 x 816 = 3687128068800

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.

395 : 1, 5, 79, 395

326 : 1, 2, 163, 326

121 : 1, 11, 121

290 : 1, 2, 5, 10, 29, 58, 145, 290

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 395,326,121,290,816, is 1.

Now, the common factors can be found like this.

395:5x 79

326:2x 163

121:11x 11

290:2x 5x 29

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 5 = 20

Therefore, the value for common factors is 20.

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 = 3687128068800/(1x20)

LCM = 3687128068800/20

LCM = 184356403440

Thus, we can understand that the LCM of 395,326,121,290,816 is 184356403440.

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

• LCM of 942, 131, 142, 236, 747
• LCM of 378, 233, 299, 441, 255
• LCM of 330, 870, 228, 368, 125
• LCM of 520, 737, 582, 697, 629
• LCM of 674, 874, 927, 665, 282

1. What is the LCM of 395, 326, 121, 290, 816?

Answer: LCM of 395, 326, 121, 290, 816 is 184356403440.

2. How to calculate the LCM of 395, 326, 121, 290, 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 395, 326, 121, 290, 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}.