Given numbers are 412,392,132,136,514

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

The LCM of 412,392,132,136,514 is 5821290552.

Find LCM of 412,392,132,136,514 with Prime Factorization

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

2 x 2 x 2 x 103 x 49 x 33 x 17 x 257 = 5821290552

Therefore, the lowest common multiple of 412,392,132,136,514 is 5821290552.

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.

412 x 392 x 132 x 136 x 514 = 1490250381312

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.

412 : 1, 2, 4, 103, 206, 412

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

136 : 1, 2, 4, 8, 17, 34, 68, 136

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,392,132,136,514, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

392:2x 2x 2x 7x 7

132:2x 2x 3x 11

136:2x 2x 2x 17

514:2x 257

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 1490250381312/(2x128)

LCM = 1490250381312/256

LCM = 5821290552

Thus, we can understand that the LCM of 412,392,132,136,514 is 5821290552.

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

• LCM of 637, 735, 422, 235, 419
• LCM of 258, 639, 937, 409, 751
• LCM of 458, 687, 731, 278, 813
• LCM of 821, 418, 184, 945, 303
• LCM of 113, 826, 661, 354, 819

1. What is the LCM of 412, 392, 132, 136, 514?

Answer: LCM of 412, 392, 132, 136, 514 is 5821290552.

2. How to calculate the LCM of 412, 392, 132, 136, 514?

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 412, 392, 132, 136, 514.

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}.