Given numbers are 513,516,252,283,935

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

The LCM of 513,516,252,283,935 is 163433807460.

Find LCM of 513,516,252,283,935 with Prime Factorization

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

2 x 2 x 3 x 3 x 57 x 43 x 7 x 283 x 935 = 163433807460

Therefore, the lowest common multiple of 513,516,252,283,935 is 163433807460.

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.

513 x 516 x 252 x 283 x 935 = 17650851205680

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

283 : 1, 283

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,516,252,283,935, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

516:2x 2x 3x 43

252:2x 2x 3x 3x 7

283:283

935:5x 11x 17

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 17650851205680/(1x108)

LCM = 17650851205680/108

LCM = 163433807460

Thus, we can understand that the LCM of 513,516,252,283,935 is 163433807460.

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

• LCM of 246, 961, 550, 331, 397
• LCM of 901, 147, 778, 456, 226
• LCM of 139, 994, 404, 916, 655
• LCM of 337, 858, 333, 300, 284
• LCM of 694, 629, 176, 782, 923

1. What is the LCM of 513, 516, 252, 283, 935?

Answer: LCM of 513, 516, 252, 283, 935 is 163433807460.

2. How to calculate the LCM of 513, 516, 252, 283, 935?

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 513, 516, 252, 283, 935.

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}.