Given numbers are 814,253,121

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

The LCM of 814,253,121 is 205942.

Find LCM of 814,253,121 with Prime Factorization

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

11 x 74 x 23 x 11 = 205942

Therefore, the lowest common multiple of 814,253,121 is 205942.

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.

814 x 253 x 121 = 24918982

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

253 : 1, 11, 23, 253

121 : 1, 11, 121

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,253,121, is 11.

Now, the common factors can be found like this.

814:2x 11x 37

253:11x 23

121:11x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 24918982/(11x11)

LCM = 24918982/121

LCM = 205942

Thus, we can understand that the LCM of 814,253,121 is 205942.

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

• LCM of 998, 951, 918
• LCM of 779, 324, 311
• LCM of 190, 633, 904
• LCM of 151, 598, 923
• LCM of 594, 263, 757

1. What is the LCM of 814, 253, 121?

Answer: LCM of 814, 253, 121 is 205942.

2. How to calculate the LCM of 814, 253, 121?

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 814, 253, 121.

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}.