Given numbers are 810,349,460,984,386

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

The LCM of 810,349,460,984,386 is 205797189240.

Find LCM of 810,349,460,984,386 with Prime Factorization

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

2 x 2 x 3 x 5 x 27 x 349 x 23 x 82 x 193 = 205797189240

Therefore, the lowest common multiple of 810,349,460,984,386 is 205797189240.

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.

810 x 349 x 460 x 984 x 386 = 49391325417600

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

349 : 1, 349

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,349,460,984,386, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

349:349

460:2x 2x 5x 23

984:2x 2x 2x 3x 41

386:2x 193

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 5 = 240

Therefore, the value for common factors is 240.

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 = 49391325417600/(1x240)

LCM = 49391325417600/240

LCM = 205797189240

Thus, we can understand that the LCM of 810,349,460,984,386 is 205797189240.

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

• LCM of 941, 168, 509, 509, 372
• LCM of 960, 735, 316, 504, 875
• LCM of 882, 958, 264, 978, 222
• LCM of 466, 309, 828, 385, 557
• LCM of 465, 284, 889, 534, 865

1. What is the LCM of 810, 349, 460, 984, 386?

Answer: LCM of 810, 349, 460, 984, 386 is 205797189240.

2. How to calculate the LCM of 810, 349, 460, 984, 386?

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 810, 349, 460, 984, 386.

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}.