Given numbers are 313,902,645,837,936

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

The LCM of 313,902,645,837,936 is 2641910717160.

Find LCM of 313,902,645,837,936 with Prime Factorization

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

2 x 3 x 3 x 313 x 451 x 215 x 93 x 52 = 2641910717160

Therefore, the lowest common multiple of 313,902,645,837,936 is 2641910717160.

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.

313 x 902 x 645 x 837 x 936 = 142663178726640

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.

313 : 1, 313

902 : 1, 2, 11, 22, 41, 82, 451, 902

645 : 1, 3, 5, 15, 43, 129, 215, 645

837 : 1, 3, 9, 27, 31, 93, 279, 837

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,902,645,837,936, is 1.

Now, the common factors can be found like this.

313:313

902:2x 11x 41

645:3x 5x 43

837:3x 3x 3x 31

936:2x 2x 2x 3x 3x 13

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 142663178726640/(1x54)

LCM = 142663178726640/54

LCM = 2641910717160

Thus, we can understand that the LCM of 313,902,645,837,936 is 2641910717160.

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

• LCM of 967, 891, 639, 290, 373
• LCM of 120, 684, 729, 151, 830
• LCM of 495, 870, 376, 520, 406
• LCM of 100, 413, 687, 612, 917
• LCM of 287, 724, 527, 854, 563

1. What is the LCM of 313, 902, 645, 837, 936?

Answer: LCM of 313, 902, 645, 837, 936 is 2641910717160.

2. How to calculate the LCM of 313, 902, 645, 837, 936?

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 313, 902, 645, 837, 936.

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}.