Given numbers are 193,426,442,748,936

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

The LCM of 193,426,442,748,936 is 2398463496.

Find LCM of 193,426,442,748,936 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 193 x 71 x 1 x 11 x 6 = 2398463496

Therefore, the lowest common multiple of 193,426,442,748,936 is 2398463496.

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.

193 x 426 x 442 x 748 x 936 = 25442900765568

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.

193 : 1, 193

426 : 1, 2, 3, 6, 71, 142, 213, 426

442 : 1, 2, 13, 17, 26, 34, 221, 442

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 193,426,442,748,936, is 1.

Now, the common factors can be found like this.

193:193

426:2x 3x 71

442:2x 13x 17

748:2x 2x 11x 17

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 2x 2x 2x 3x 13x 17 = 10608

Therefore, the value for common factors is 10608.

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 = 25442900765568/(1x10608)

LCM = 25442900765568/10608

LCM = 2398463496

Thus, we can understand that the LCM of 193,426,442,748,936 is 2398463496.

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

• LCM of 240, 175, 216, 874, 439
• LCM of 577, 352, 931, 420, 114
• LCM of 802, 719, 263, 490, 580
• LCM of 593, 998, 501, 622, 907
• LCM of 162, 716, 469, 521, 481

1. What is the LCM of 193, 426, 442, 748, 936?

Answer: LCM of 193, 426, 442, 748, 936 is 2398463496.

2. How to calculate the LCM of 193, 426, 442, 748, 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 193, 426, 442, 748, 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}.