Given numbers are 361,343,420,965,353

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

The LCM of 361,343,420,965,353 is 506156230020.

Find LCM of 361,343,420,965,353 with Prime Factorization

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

5 x 7 x 361 x 49 x 12 x 193 x 353 = 506156230020

Therefore, the lowest common multiple of 361,343,420,965,353 is 506156230020.

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.

361 x 343 x 420 x 965 x 353 = 17715468050700

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.

361 : 1, 19, 361

343 : 1, 7, 49, 343

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

965 : 1, 5, 193, 965

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,343,420,965,353, is 1.

Now, the common factors can be found like this.

361:19x 19

343:7x 7x 7

420:2x 2x 3x 5x 7

965:5x 193

353:353

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

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 17715468050700/(1x35)

LCM = 17715468050700/35

LCM = 506156230020

Thus, we can understand that the LCM of 361,343,420,965,353 is 506156230020.

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

• LCM of 151, 200, 727, 932, 665
• LCM of 994, 350, 698, 429, 165
• LCM of 875, 560, 338, 480, 893
• LCM of 694, 394, 500, 506, 300
• LCM of 195, 913, 638, 615, 437

1. What is the LCM of 361, 343, 420, 965, 353?

Answer: LCM of 361, 343, 420, 965, 353 is 506156230020.

2. How to calculate the LCM of 361, 343, 420, 965, 353?

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 361, 343, 420, 965, 353.

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}.