Given numbers are 596,507,134,381,110

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

The LCM of 596,507,134,381,110 is 141414985140.

Find LCM of 596,507,134,381,110 with Prime Factorization

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

2 x 3 x 298 x 169 x 67 x 127 x 55 = 141414985140

Therefore, the lowest common multiple of 596,507,134,381,110 is 141414985140.

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 507 x 134 x 381 x 110 = 1696979821680

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

507 : 1, 3, 13, 39, 169, 507

134 : 1, 2, 67, 134

381 : 1, 3, 127, 381

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,507,134,381,110, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

507:3x 13x 13

134:2x 67

381:3x 127

110:2x 5x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1696979821680/(1x12)

LCM = 1696979821680/12

LCM = 141414985140

Thus, we can understand that the LCM of 596,507,134,381,110 is 141414985140.

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

• LCM of 851, 147, 605, 118, 240
• LCM of 904, 185, 378, 763, 223
• LCM of 677, 953, 914, 761, 683
• LCM of 128, 785, 339, 560, 259
• LCM of 978, 618, 633, 796, 645

1. What is the LCM of 596, 507, 134, 381, 110?

Answer: LCM of 596, 507, 134, 381, 110 is 141414985140.

2. How to calculate the LCM of 596, 507, 134, 381, 110?

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, 507, 134, 381, 110.

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}.