Given numbers are 341,184,299,377,420

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

The LCM of 341,184,299,377,420 is 2483721240.

Find LCM of 341,184,299,377,420 with Prime Factorization

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

2 x 2 x 13 x 23 x 341 x 2 x 1 x 29 x 105 = 2483721240

Therefore, the lowest common multiple of 341,184,299,377,420 is 2483721240.

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.

341 x 184 x 299 x 377 x 420 = 2970530603040

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.

341 : 1, 11, 31, 341

184 : 1, 2, 4, 8, 23, 46, 92, 184

299 : 1, 13, 23, 299

377 : 1, 13, 29, 377

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,184,299,377,420, is 1.

Now, the common factors can be found like this.

341:11x 31

184:2x 2x 2x 23

299:13x 23

377:13x 29

420:2x 2x 3x 5x 7

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 13x 23 = 1196

Therefore, the value for common factors is 1196.

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 = 2970530603040/(1x1196)

LCM = 2970530603040/1196

LCM = 2483721240

Thus, we can understand that the LCM of 341,184,299,377,420 is 2483721240.

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

• LCM of 607, 688, 789, 502, 129
• LCM of 138, 959, 942, 489, 814
• LCM of 145, 502, 663, 318, 566
• LCM of 132, 356, 924, 531, 619
• LCM of 806, 443, 799, 419, 188

1. What is the LCM of 341, 184, 299, 377, 420?

Answer: LCM of 341, 184, 299, 377, 420 is 2483721240.

2. How to calculate the LCM of 341, 184, 299, 377, 420?

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 341, 184, 299, 377, 420.

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}.