Given numbers are 510,455,365,121

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

The LCM of 510,455,365,121 is 409939530.

Find LCM of 510,455,365,121 with Prime Factorization

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

5 x 102 x 91 x 73 x 121 = 409939530

Therefore, the lowest common multiple of 510,455,365,121 is 409939530.

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.

510 x 455 x 365 x 121 = 10248488250

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

455 : 1, 5, 7, 13, 35, 65, 91, 455

365 : 1, 5, 73, 365

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,455,365,121, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

455:5x 7x 13

365:5x 73

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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 10248488250/(1x25)

LCM = 10248488250/25

LCM = 409939530

Thus, we can understand that the LCM of 510,455,365,121 is 409939530.

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

• LCM of 870, 273, 282, 480
• LCM of 606, 784, 950, 273
• LCM of 668, 677, 720, 842
• LCM of 499, 912, 968, 153
• LCM of 552, 546, 102, 402

1. What is the LCM of 510, 455, 365, 121?

Answer: LCM of 510, 455, 365, 121 is 409939530.

2. How to calculate the LCM of 510, 455, 365, 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 510, 455, 365, 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}.