Given numbers are 121,424,514,400

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

The LCM of 121,424,514,400 is 659256400.

Find LCM of 121,424,514,400 with Prime Factorization

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

2 x 2 x 2 x 121 x 53 x 257 x 50 = 659256400

Therefore, the lowest common multiple of 121,424,514,400 is 659256400.

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 424 x 514 x 400 = 10548102400

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

514 : 1, 2, 257, 514

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,424,514,400, is 1.

Now, the common factors can be found like this.

121:11x 11

424:2x 2x 2x 53

514:2x 257

400:2x 2x 2x 2x 5x 5

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 10548102400/(1x16)

LCM = 10548102400/16

LCM = 659256400

Thus, we can understand that the LCM of 121,424,514,400 is 659256400.

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

• LCM of 580, 284, 764, 438
• LCM of 938, 315, 827, 227
• LCM of 707, 475, 121, 133
• LCM of 455, 222, 224, 297
• LCM of 898, 551, 776, 936

1. What is the LCM of 121, 424, 514, 400?

Answer: LCM of 121, 424, 514, 400 is 659256400.

2. How to calculate the LCM of 121, 424, 514, 400?

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, 424, 514, 400.

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}.