Given numbers are 855,408,345,210,197

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

The LCM of 855,408,345,210,197 is 3688052760.

Find LCM of 855,408,345,210,197 with Prime Factorization

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

2 x 3 x 5 x 57 x 68 x 23 x 7 x 197 = 3688052760

Therefore, the lowest common multiple of 855,408,345,210,197 is 3688052760.

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.

855 x 408 x 345 x 210 x 197 = 4978871226000

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,408,345,210,197, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

408:2x 2x 2x 3x 17

345:3x 5x 23

210:2x 3x 5x 7

197:197

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 4978871226000/(1x1350)

LCM = 4978871226000/1350

LCM = 3688052760

Thus, we can understand that the LCM of 855,408,345,210,197 is 3688052760.

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

• LCM of 573, 269, 881, 175, 708
• LCM of 800, 504, 405, 578, 396
• LCM of 843, 508, 196, 821, 908
• LCM of 759, 315, 269, 285, 606
• LCM of 654, 413, 823, 807, 947

1. What is the LCM of 855, 408, 345, 210, 197?

Answer: LCM of 855, 408, 345, 210, 197 is 3688052760.

2. How to calculate the LCM of 855, 408, 345, 210, 197?

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 855, 408, 345, 210, 197.

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}.