Given numbers are 114,57,339

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

The LCM of 114,57,339 is 12882.

Find LCM of 114,57,339 with Prime Factorization

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

3 x 19 x 2 x 1 x 113 = 12882

Therefore, the lowest common multiple of 114,57,339 is 12882.

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.

114 x 57 x 339 = 2202822

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

57 : 1, 3, 19, 57

339 : 1, 3, 113, 339

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,57,339, is 3.

Now, the common factors can be found like this.

114:2x 3x 19

57:3x 19

339:3x 113

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 2202822/(3x57)

LCM = 2202822/171

LCM = 12882

Thus, we can understand that the LCM of 114,57,339 is 12882.

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

• LCM of 195, 77, 435
• LCM of 803, 80, 642
• LCM of 842, 41, 849
• LCM of 677, 16, 419
• LCM of 898, 15, 174

1. What is the LCM of 114, 57, 339?

Answer: LCM of 114, 57, 339 is 12882.

2. How to calculate the LCM of 114, 57, 339?

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 114, 57, 339.

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}.