Given numbers are 821,212,311,371

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

The LCM of 821,212,311,371 is 378911204.

Find LCM of 821,212,311,371 with Prime Factorization

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

53 x 821 x 4 x 311 x 7 = 378911204

Therefore, the lowest common multiple of 821,212,311,371 is 378911204.

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.

821 x 212 x 311 x 371 = 20082293812

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.

821 : 1, 821

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

311 : 1, 311

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,212,311,371, is 1.

Now, the common factors can be found like this.

821:821

212:2x 2x 53

311:311

371:7x 53

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

53 = 53

Therefore, the value for common factors is 53.

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 = 20082293812/(1x53)

LCM = 20082293812/53

LCM = 378911204

Thus, we can understand that the LCM of 821,212,311,371 is 378911204.

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

• LCM of 596, 402, 322, 252
• LCM of 543, 994, 627, 686
• LCM of 198, 754, 728, 536
• LCM of 799, 546, 423, 739
• LCM of 455, 137, 750, 425

1. What is the LCM of 821, 212, 311, 371?

Answer: LCM of 821, 212, 311, 371 is 378911204.

2. How to calculate the LCM of 821, 212, 311, 371?

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 821, 212, 311, 371.

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}.