Given numbers are 502,126,214,913,960

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

The LCM of 502,126,214,913,960 is 494332090560.

Find LCM of 502,126,214,913,960 with Prime Factorization

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

2 x 3 x 251 x 21 x 107 x 913 x 160 = 494332090560

Therefore, the lowest common multiple of 502,126,214,913,960 is 494332090560.

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.

502 x 126 x 214 x 913 x 960 = 11863970173440

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.

502 : 1, 2, 251, 502

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

214 : 1, 2, 107, 214

913 : 1, 11, 83, 913

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,126,214,913,960, is 1.

Now, the common factors can be found like this.

502:2x 251

126:2x 3x 3x 7

214:2x 107

913:11x 83

960:2x 2x 2x 2x 2x 2x 3x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11863970173440/(1x24)

LCM = 11863970173440/24

LCM = 494332090560

Thus, we can understand that the LCM of 502,126,214,913,960 is 494332090560.

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

• LCM of 508, 916, 635, 226, 628
• LCM of 489, 891, 928, 389, 889
• LCM of 816, 822, 962, 259, 746
• LCM of 494, 681, 825, 914, 170
• LCM of 340, 843, 569, 598, 359

1. What is the LCM of 502, 126, 214, 913, 960?

Answer: LCM of 502, 126, 214, 913, 960 is 494332090560.

2. How to calculate the LCM of 502, 126, 214, 913, 960?

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 502, 126, 214, 913, 960.

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}.