Given numbers are 418,212,676,257,210

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

The LCM of 418,212,676,257,210 is 202065083220.

Find LCM of 418,212,676,257,210 with Prime Factorization

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

2 x 2 x 209 x 53 x 169 x 257 x 105 = 202065083220

Therefore, the lowest common multiple of 418,212,676,257,210 is 202065083220.

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.

418 x 212 x 676 x 257 x 210 = 3233041331520

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

212 : 1, 2, 4, 53, 106, 212

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

257 : 1, 257

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,212,676,257,210, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

212:2x 2x 53

676:2x 2x 13x 13

257:257

210:2x 3x 5x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3233041331520/(1x16)

LCM = 3233041331520/16

LCM = 202065083220

Thus, we can understand that the LCM of 418,212,676,257,210 is 202065083220.

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

• LCM of 962, 708, 173, 286, 281
• LCM of 205, 444, 430, 506, 694
• LCM of 878, 284, 942, 975, 985
• LCM of 647, 137, 185, 340, 141
• LCM of 810, 808, 698, 361, 813

1. What is the LCM of 418, 212, 676, 257, 210?

Answer: LCM of 418, 212, 676, 257, 210 is 202065083220.

2. How to calculate the LCM of 418, 212, 676, 257, 210?

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 418, 212, 676, 257, 210.

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}.