Given numbers are 510,197,193,648,816

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

The LCM of 510,197,193,648,816 is 4188393360.

Find LCM of 510,197,193,648,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 5 x 197 x 193 x 27 x 2 = 4188393360

Therefore, the lowest common multiple of 510,197,193,648,816 is 4188393360.

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.

510 x 197 x 193 x 648 x 816 = 10253186945280

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

197 : 1, 197

193 : 1, 193

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 510,197,193,648,816, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

197:197

193:193

648:2x 2x 2x 3x 3x 3x 3

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 = 10253186945280/(1x2448)

LCM = 10253186945280/2448

LCM = 4188393360

Thus, we can understand that the LCM of 510,197,193,648,816 is 4188393360.

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

• LCM of 517, 174, 658, 994, 296
• LCM of 842, 620, 289, 611, 243
• LCM of 798, 888, 602, 214, 642
• LCM of 139, 500, 610, 185, 723
• LCM of 944, 779, 775, 939, 942

1. What is the LCM of 510, 197, 193, 648, 816?

Answer: LCM of 510, 197, 193, 648, 816 is 4188393360.

2. How to calculate the LCM of 510, 197, 193, 648, 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 510, 197, 193, 648, 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}.