Given numbers are 212,252,385,364,821

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

The LCM of 212,252,385,364,821 is 7840172340.

Find LCM of 212,252,385,364,821 with Prime Factorization

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

2 x 2 x 7 x 53 x 9 x 55 x 13 x 821 = 7840172340

Therefore, the lowest common multiple of 212,252,385,364,821 is 7840172340.

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.

212 x 252 x 385 x 364 x 821 = 6146695114560

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.

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

385 : 1, 5, 7, 11, 35, 55, 77, 385

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,252,385,364,821, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

252:2x 2x 3x 3x 7

385:5x 7x 11

364:2x 2x 7x 13

821:821

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 6146695114560/(1x784)

LCM = 6146695114560/784

LCM = 7840172340

Thus, we can understand that the LCM of 212,252,385,364,821 is 7840172340.

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

• LCM of 638, 231, 795, 589, 622
• LCM of 691, 348, 955, 832, 316
• LCM of 960, 524, 823, 726, 987
• LCM of 989, 351, 655, 834, 822
• LCM of 106, 834, 671, 973, 461

1. What is the LCM of 212, 252, 385, 364, 821?

Answer: LCM of 212, 252, 385, 364, 821 is 7840172340.

2. How to calculate the LCM of 212, 252, 385, 364, 821?

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 212, 252, 385, 364, 821.

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}.