Given numbers are 84,57,138

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

The LCM of 84,57,138 is 36708.

Find LCM of 84,57,138 with Prime Factorization

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

2 x 3 x 14 x 19 x 23 = 36708

Therefore, the lowest common multiple of 84,57,138 is 36708.

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.

84 x 57 x 138 = 660744

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.

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

57 : 1, 3, 19, 57

138 : 1, 2, 3, 6, 23, 46, 69, 138

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 84,57,138, is 3.

Now, the common factors can be found like this.

84:2x 2x 3x 7

57:3x 19

138:2x 3x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 660744/(3x6)

LCM = 660744/18

LCM = 36708

Thus, we can understand that the LCM of 84,57,138 is 36708.

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

• LCM of 22, 91, 385
• LCM of 63, 33, 883
• LCM of 11, 80, 760
• LCM of 38, 17, 671
• LCM of 81, 74, 311

1. What is the LCM of 84, 57, 138?

Answer: LCM of 84, 57, 138 is 36708.

2. How to calculate the LCM of 84, 57, 138?

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 84, 57, 138.

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}.