Given numbers are 343,995,935,395,680

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

The LCM of 343,995,935,395,680 is 40334426440.

Find LCM of 343,995,935,395,680 with Prime Factorization

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

5 x 17 x 343 x 199 x 11 x 79 x 8 = 40334426440

Therefore, the lowest common multiple of 343,995,935,395,680 is 40334426440.

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.

343 x 995 x 935 x 395 x 680 = 85710656185000

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.

343 : 1, 7, 49, 343

995 : 1, 5, 199, 995

935 : 1, 5, 11, 17, 55, 85, 187, 935

395 : 1, 5, 79, 395

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,995,935,395,680, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

995:5x 199

935:5x 11x 17

395:5x 79

680:2x 2x 2x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5x 5x 17 = 2125

Therefore, the value for common factors is 2125.

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 = 85710656185000/(1x2125)

LCM = 85710656185000/2125

LCM = 40334426440

Thus, we can understand that the LCM of 343,995,935,395,680 is 40334426440.

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

• LCM of 812, 529, 144, 834, 790
• LCM of 469, 392, 841, 244, 793
• LCM of 946, 470, 906, 144, 662
• LCM of 784, 845, 874, 847, 419
• LCM of 401, 526, 762, 873, 889

1. What is the LCM of 343, 995, 935, 395, 680?

Answer: LCM of 343, 995, 935, 395, 680 is 40334426440.

2. How to calculate the LCM of 343, 995, 935, 395, 680?

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 343, 995, 935, 395, 680.

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}.