Given numbers are 939,140,524,780,442

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

The LCM of 939,140,524,780,442 is 3805898460.

Find LCM of 939,140,524,780,442 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 313 x 7 x 131 x 1 x 17 = 3805898460

Therefore, the lowest common multiple of 939,140,524,780,442 is 3805898460.

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.

939 x 140 x 524 x 780 x 442 = 23748806390400

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.

939 : 1, 3, 313, 939

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

524 : 1, 2, 4, 131, 262, 524

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,140,524,780,442, is 1.

Now, the common factors can be found like this.

939:3x 313

140:2x 2x 5x 7

524:2x 2x 131

780:2x 2x 3x 5x 13

442:2x 13x 17

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 2x 3x 5x 13 = 6240

Therefore, the value for common factors is 6240.

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 = 23748806390400/(1x6240)

LCM = 23748806390400/6240

LCM = 3805898460

Thus, we can understand that the LCM of 939,140,524,780,442 is 3805898460.

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

• LCM of 417, 584, 375, 491, 562
• LCM of 188, 395, 900, 830, 379
• LCM of 495, 502, 727, 290, 580
• LCM of 127, 780, 478, 809, 801
• LCM of 806, 459, 287, 173, 202

1. What is the LCM of 939, 140, 524, 780, 442?

Answer: LCM of 939, 140, 524, 780, 442 is 3805898460.

2. How to calculate the LCM of 939, 140, 524, 780, 442?

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 939, 140, 524, 780, 442.

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}.