Given numbers are 364,590,346

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

The LCM of 364,590,346 is 18576740.

Find LCM of 364,590,346 with Prime Factorization

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

2 x 182 x 295 x 173 = 18576740

Therefore, the lowest common multiple of 364,590,346 is 18576740.

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.

364 x 590 x 346 = 74306960

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

590 : 1, 2, 5, 10, 59, 118, 295, 590

346 : 1, 2, 173, 346

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,590,346, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

590:2x 5x 59

346:2x 173

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

2 = 2

Therefore, the value for common factors is 2.

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 = 74306960/(2x2)

LCM = 74306960/4

LCM = 18576740

Thus, we can understand that the LCM of 364,590,346 is 18576740.

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

• LCM of 810, 602, 404
• LCM of 185, 699, 481
• LCM of 596, 221, 226
• LCM of 186, 340, 987
• LCM of 395, 134, 999

1. What is the LCM of 364, 590, 346?

Answer: LCM of 364, 590, 346 is 18576740.

2. How to calculate the LCM of 364, 590, 346?

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 364, 590, 346.

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}.