Given numbers are 365,338,349,380

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

The LCM of 365,338,349,380 is 1636132940.

Find LCM of 365,338,349,380 with Prime Factorization

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

2 x 5 x 73 x 169 x 349 x 38 = 1636132940

Therefore, the lowest common multiple of 365,338,349,380 is 1636132940.

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.

365 x 338 x 349 x 380 = 16361329400

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.

365 : 1, 5, 73, 365

338 : 1, 2, 13, 26, 169, 338

349 : 1, 349

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,338,349,380, is 1.

Now, the common factors can be found like this.

365:5x 73

338:2x 13x 13

349:349

380:2x 2x 5x 19

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 16361329400/(1x10)

LCM = 16361329400/10

LCM = 1636132940

Thus, we can understand that the LCM of 365,338,349,380 is 1636132940.

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

• LCM of 845, 947, 590, 640
• LCM of 829, 506, 208, 953
• LCM of 671, 515, 256, 787
• LCM of 901, 541, 367, 388
• LCM of 159, 722, 863, 225

1. What is the LCM of 365, 338, 349, 380?

Answer: LCM of 365, 338, 349, 380 is 1636132940.

2. How to calculate the LCM of 365, 338, 349, 380?

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 365, 338, 349, 380.

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}.