Given numbers are 596,408,350,338,938

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

The LCM of 596,408,350,338,938 is 120460867800.

Find LCM of 596,408,350,338,938 with Prime Factorization

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

2 x 2 x 7 x 149 x 102 x 25 x 169 x 67 = 120460867800

Therefore, the lowest common multiple of 596,408,350,338,938 is 120460867800.

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 408 x 350 x 338 x 938 = 26983234387200

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

338 : 1, 2, 13, 26, 169, 338

938 : 1, 2, 7, 14, 67, 134, 469, 938

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,408,350,338,938, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

408:2x 2x 2x 3x 17

350:2x 5x 5x 7

338:2x 13x 13

938:2x 7x 67

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 7 = 112

Therefore, the value for common factors is 112.

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 = 26983234387200/(2x112)

LCM = 26983234387200/224

LCM = 120460867800

Thus, we can understand that the LCM of 596,408,350,338,938 is 120460867800.

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

• LCM of 877, 793, 103, 949, 301
• LCM of 134, 878, 910, 579, 122
• LCM of 363, 981, 427, 920, 888
• LCM of 440, 179, 368, 466, 245
• LCM of 716, 471, 509, 353, 707

1. What is the LCM of 596, 408, 350, 338, 938?

Answer: LCM of 596, 408, 350, 338, 938 is 120460867800.

2. How to calculate the LCM of 596, 408, 350, 338, 938?

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, 408, 350, 338, 938.

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}.