Given numbers are 306,13,374

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

The LCM of 306,13,374 is 43758.

Find LCM of 306,13,374 with Prime Factorization

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

2 x 17 x 9 x 13 x 11 = 43758

Therefore, the lowest common multiple of 306,13,374 is 43758.

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.

306 x 13 x 374 = 1487772

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

13 : 1, 13

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,13,374, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

13:13

374:2x 11x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 1487772/(1x34)

LCM = 1487772/34

LCM = 43758

Thus, we can understand that the LCM of 306,13,374 is 43758.

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

• LCM of 512, 24, 424
• LCM of 458, 54, 335
• LCM of 787, 28, 455
• LCM of 732, 11, 325
• LCM of 901, 20, 334

1. What is the LCM of 306, 13, 374?

Answer: LCM of 306, 13, 374 is 43758.

2. How to calculate the LCM of 306, 13, 374?

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 306, 13, 374.

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}.