Given numbers are 936,696,494,149,629

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

The LCM of 936,696,494,149,629 is 48335293656.

Find LCM of 936,696,494,149,629 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 3 x 29 x 19 x 149 x 629 = 48335293656

Therefore, the lowest common multiple of 936,696,494,149,629 is 48335293656.

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.

936 x 696 x 494 x 149 x 629 = 30161223241344

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.

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

494 : 1, 2, 13, 19, 26, 38, 247, 494

149 : 1, 149

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,696,494,149,629, is 1.

Now, the common factors can be found like this.

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

696:2x 2x 2x 3x 29

494:2x 13x 19

149:149

629:17x 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 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 30161223241344/(1x624)

LCM = 30161223241344/624

LCM = 48335293656

Thus, we can understand that the LCM of 936,696,494,149,629 is 48335293656.

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

• LCM of 428, 235, 237, 118, 543
• LCM of 986, 818, 973, 223, 148
• LCM of 190, 600, 167, 291, 931
• LCM of 918, 196, 318, 991, 236
• LCM of 691, 988, 640, 226, 973

1. What is the LCM of 936, 696, 494, 149, 629?

Answer: LCM of 936, 696, 494, 149, 629 is 48335293656.

2. How to calculate the LCM of 936, 696, 494, 149, 629?

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 936, 696, 494, 149, 629.

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}.