Given numbers are 342,525,702,386,852

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

The LCM of 342,525,702,386,852 is 63969714900.

Find LCM of 342,525,702,386,852 with Prime Factorization

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

2 x 3 x 3 x 19 x 175 x 39 x 193 x 142 = 63969714900

Therefore, the lowest common multiple of 342,525,702,386,852 is 63969714900.

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.

342 x 525 x 702 x 386 x 852 = 41452375255200

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

386 : 1, 2, 193, 386

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,525,702,386,852, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

525:3x 5x 5x 7

702:2x 3x 3x 3x 13

386:2x 193

852:2x 2x 3x 71

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 41452375255200/(1x648)

LCM = 41452375255200/648

LCM = 63969714900

Thus, we can understand that the LCM of 342,525,702,386,852 is 63969714900.

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

• LCM of 607, 593, 933, 715, 888
• LCM of 534, 697, 506, 710, 538
• LCM of 309, 983, 724, 777, 581
• LCM of 133, 653, 659, 843, 534
• LCM of 891, 394, 104, 502, 523

1. What is the LCM of 342, 525, 702, 386, 852?

Answer: LCM of 342, 525, 702, 386, 852 is 63969714900.

2. How to calculate the LCM of 342, 525, 702, 386, 852?

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 342, 525, 702, 386, 852.

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}.