Given numbers are 509,518,696,674,257

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

The LCM of 509,518,696,674,257 is 7946754750984.

Find LCM of 509,518,696,674,257 with Prime Factorization

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

2 x 509 x 259 x 348 x 337 x 257 = 7946754750984

Therefore, the lowest common multiple of 509,518,696,674,257 is 7946754750984.

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.

509 x 518 x 696 x 674 x 257 = 31787019003936

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.

509 : 1, 509

518 : 1, 2, 7, 14, 37, 74, 259, 518

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

674 : 1, 2, 337, 674

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,518,696,674,257, is 1.

Now, the common factors can be found like this.

509:509

518:2x 7x 37

696:2x 2x 2x 3x 29

674:2x 337

257:257

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

2x 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 = 31787019003936/(1x4)

LCM = 31787019003936/4

LCM = 7946754750984

Thus, we can understand that the LCM of 509,518,696,674,257 is 7946754750984.

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

• LCM of 330, 178, 297, 943, 161
• LCM of 226, 903, 293, 788, 875
• LCM of 414, 848, 552, 566, 441
• LCM of 983, 464, 914, 709, 659
• LCM of 852, 116, 116, 224, 290

1. What is the LCM of 509, 518, 696, 674, 257?

Answer: LCM of 509, 518, 696, 674, 257 is 7946754750984.

2. How to calculate the LCM of 509, 518, 696, 674, 257?

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 509, 518, 696, 674, 257.

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}.