Given numbers are 121,214,102,460

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

The LCM of 121,214,102,460 is 303736620.

Find LCM of 121,214,102,460 with Prime Factorization

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

2 x 121 x 107 x 51 x 230 = 303736620

Therefore, the lowest common multiple of 121,214,102,460 is 303736620.

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.

121 x 214 x 102 x 460 = 1214946480

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.

121 : 1, 11, 121

214 : 1, 2, 107, 214

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,214,102,460, is 1.

Now, the common factors can be found like this.

121:11x 11

214:2x 107

102:2x 3x 17

460:2x 2x 5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1214946480/(1x4)

LCM = 1214946480/4

LCM = 303736620

Thus, we can understand that the LCM of 121,214,102,460 is 303736620.

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

• LCM of 611, 713, 733, 374
• LCM of 892, 935, 540, 967
• LCM of 921, 336, 977, 495
• LCM of 627, 102, 729, 255
• LCM of 895, 759, 414, 353

1. What is the LCM of 121, 214, 102, 460?

Answer: LCM of 121, 214, 102, 460 is 303736620.

2. How to calculate the LCM of 121, 214, 102, 460?

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 121, 214, 102, 460.

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}.