Given numbers are 342,535,228,750,397

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

The LCM of 342,535,228,750,397 is 3631954500.

Find LCM of 342,535,228,750,397 with Prime Factorization

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

2 x 3 x 5 x 19 x 3 x 107 x 2 x 25 x 397 = 3631954500

Therefore, the lowest common multiple of 342,535,228,750,397 is 3631954500.

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 535 x 228 x 750 x 397 = 12421284390000

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

535 : 1, 5, 107, 535

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,535,228,750,397, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

535:5x 107

228:2x 2x 3x 19

750:2x 3x 5x 5x 5

397:397

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 3x 3x 5x 19 = 3420

Therefore, the value for common factors is 3420.

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 = 12421284390000/(1x3420)

LCM = 12421284390000/3420

LCM = 3631954500

Thus, we can understand that the LCM of 342,535,228,750,397 is 3631954500.

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

• LCM of 600, 573, 755, 870, 330
• LCM of 458, 664, 180, 636, 650
• LCM of 370, 395, 744, 688, 878
• LCM of 687, 985, 663, 680, 744
• LCM of 177, 762, 399, 209, 982

1. What is the LCM of 342, 535, 228, 750, 397?

Answer: LCM of 342, 535, 228, 750, 397 is 3631954500.

2. How to calculate the LCM of 342, 535, 228, 750, 397?

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, 535, 228, 750, 397.

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}.