Given numbers are 514,238,547,560,518

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

The LCM of 514,238,547,560,518 is 49517546960.

Find LCM of 514,238,547,560,518 with Prime Factorization

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

2 x 7 x 257 x 17 x 547 x 40 x 37 = 49517546960

Therefore, the lowest common multiple of 514,238,547,560,518 is 49517546960.

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.

514 x 238 x 547 x 560 x 518 = 19410878408320

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.

514 : 1, 2, 257, 514

238 : 1, 2, 7, 14, 17, 34, 119, 238

547 : 1, 547

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,238,547,560,518, is 1.

Now, the common factors can be found like this.

514:2x 257

238:2x 7x 17

547:547

560:2x 2x 2x 2x 5x 7

518:2x 7x 37

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 19410878408320/(1x392)

LCM = 19410878408320/392

LCM = 49517546960

Thus, we can understand that the LCM of 514,238,547,560,518 is 49517546960.

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

• LCM of 541, 690, 445, 533, 665
• LCM of 798, 967, 156, 401, 397
• LCM of 932, 197, 676, 419, 785
• LCM of 800, 983, 748, 106, 430
• LCM of 298, 364, 667, 510, 951

1. What is the LCM of 514, 238, 547, 560, 518?

Answer: LCM of 514, 238, 547, 560, 518 is 49517546960.

2. How to calculate the LCM of 514, 238, 547, 560, 518?

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 514, 238, 547, 560, 518.

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}.