Given numbers are 914,610,715,821

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

The LCM of 914,610,715,821 is 32728434310.

Find LCM of 914,610,715,821 with Prime Factorization

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

2 x 5 x 457 x 61 x 143 x 821 = 32728434310

Therefore, the lowest common multiple of 914,610,715,821 is 32728434310.

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.

914 x 610 x 715 x 821 = 327284343100

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.

914 : 1, 2, 457, 914

610 : 1, 2, 5, 10, 61, 122, 305, 610

715 : 1, 5, 11, 13, 55, 65, 143, 715

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,610,715,821, is 1.

Now, the common factors can be found like this.

914:2x 457

610:2x 5x 61

715:5x 11x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 327284343100/(1x10)

LCM = 327284343100/10

LCM = 32728434310

Thus, we can understand that the LCM of 914,610,715,821 is 32728434310.

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

• LCM of 658, 571, 171, 513
• LCM of 366, 132, 404, 213
• LCM of 133, 109, 200, 340
• LCM of 564, 202, 996, 911
• LCM of 598, 398, 390, 724

1. What is the LCM of 914, 610, 715, 821?

Answer: LCM of 914, 610, 715, 821 is 32728434310.

2. How to calculate the LCM of 914, 610, 715, 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 914, 610, 715, 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}.