Given numbers are 821,121,914,683,328

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

The LCM of 821,121,914,683,328 is 10170429060088.

Find LCM of 821,121,914,683,328 with Prime Factorization

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

2 x 821 x 121 x 457 x 683 x 164 = 10170429060088

Therefore, the lowest common multiple of 821,121,914,683,328 is 10170429060088.

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 121 x 914 x 683 x 328 = 20340858120176

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

121 : 1, 11, 121

914 : 1, 2, 457, 914

683 : 1, 683

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,121,914,683,328, is 1.

Now, the common factors can be found like this.

821:821

121:11x 11

914:2x 457

683:683

328:2x 2x 2x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 20340858120176/(1x2)

LCM = 20340858120176/2

LCM = 10170429060088

Thus, we can understand that the LCM of 821,121,914,683,328 is 10170429060088.

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

• LCM of 862, 437, 426, 544, 705
• LCM of 372, 795, 875, 856, 617
• LCM of 106, 172, 669, 827, 673
• LCM of 859, 989, 811, 822, 250
• LCM of 740, 987, 757, 818, 481

1. What is the LCM of 821, 121, 914, 683, 328?

Answer: LCM of 821, 121, 914, 683, 328 is 10170429060088.

2. How to calculate the LCM of 821, 121, 914, 683, 328?

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, 121, 914, 683, 328.

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}.