Given numbers are 596,755,906,676,514

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

The LCM of 596,755,906,676,514 is 58631944020.

Find LCM of 596,755,906,676,514 with Prime Factorization

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

2 x 2 x 151 x 149 x 5 x 3 x 169 x 257 = 58631944020

Therefore, the lowest common multiple of 596,755,906,676,514 is 58631944020.

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.

596 x 755 x 906 x 676 x 514 = 141654776752320

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.

596 : 1, 2, 4, 149, 298, 596

755 : 1, 5, 151, 755

906 : 1, 2, 3, 6, 151, 302, 453, 906

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,755,906,676,514, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

755:5x 151

906:2x 3x 151

676:2x 2x 13x 13

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 151 = 2416

Therefore, the value for common factors is 2416.

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 = 141654776752320/(1x2416)

LCM = 141654776752320/2416

LCM = 58631944020

Thus, we can understand that the LCM of 596,755,906,676,514 is 58631944020.

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

• LCM of 399, 622, 127, 111, 881
• LCM of 208, 908, 435, 960, 493
• LCM of 680, 738, 981, 123, 608
• LCM of 214, 855, 979, 692, 230
• LCM of 242, 678, 966, 291, 814

1. What is the LCM of 596, 755, 906, 676, 514?

Answer: LCM of 596, 755, 906, 676, 514 is 58631944020.

2. How to calculate the LCM of 596, 755, 906, 676, 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 596, 755, 906, 676, 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}.