Given numbers are 605,336,138,924,514

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

The LCM of 605,336,138,924,514 is 1201588080.

Find LCM of 605,336,138,924,514 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 55 x 4 x 23 x 1 x 257 = 1201588080

Therefore, the lowest common multiple of 605,336,138,924,514 is 1201588080.

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.

605 x 336 x 138 x 924 x 514 = 13323208631040

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.

605 : 1, 5, 11, 55, 121, 605

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

138 : 1, 2, 3, 6, 23, 46, 69, 138

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,336,138,924,514, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

336:2x 2x 2x 2x 3x 7

138:2x 3x 23

924:2x 2x 3x 7x 11

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 3x 3x 7x 11 = 11088

Therefore, the value for common factors is 11088.

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 = 13323208631040/(1x11088)

LCM = 13323208631040/11088

LCM = 1201588080

Thus, we can understand that the LCM of 605,336,138,924,514 is 1201588080.

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

• LCM of 880, 410, 215, 559, 599
• LCM of 792, 994, 781, 463, 487
• LCM of 772, 921, 728, 649, 778
• LCM of 658, 420, 806, 667, 294
• LCM of 504, 164, 100, 848, 278

1. What is the LCM of 605, 336, 138, 924, 514?

Answer: LCM of 605, 336, 138, 924, 514 is 1201588080.

2. How to calculate the LCM of 605, 336, 138, 924, 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 605, 336, 138, 924, 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}.