Given numbers are 821,102,121,324

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

The LCM of 821,102,121,324 is 547170228.

Find LCM of 821,102,121,324 with Prime Factorization

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

2 x 3 x 821 x 17 x 121 x 54 = 547170228

Therefore, the lowest common multiple of 821,102,121,324 is 547170228.

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 102 x 121 x 324 = 3283021368

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

121 : 1, 11, 121

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,102,121,324, is 1.

Now, the common factors can be found like this.

821:821

102:2x 3x 17

121:11x 11

324:2x 2x 3x 3x 3x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3283021368/(1x6)

LCM = 3283021368/6

LCM = 547170228

Thus, we can understand that the LCM of 821,102,121,324 is 547170228.

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

• LCM of 939, 516, 852, 550
• LCM of 825, 341, 329, 517
• LCM of 526, 731, 455, 838
• LCM of 159, 551, 184, 492
• LCM of 203, 284, 127, 902

1. What is the LCM of 821, 102, 121, 324?

Answer: LCM of 821, 102, 121, 324 is 547170228.

2. How to calculate the LCM of 821, 102, 121, 324?

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, 102, 121, 324.

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}.