Given numbers are 99,71,138

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

The LCM of 99,71,138 is 323334.

Find LCM of 99,71,138 with Prime Factorization

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

3 x 33 x 71 x 46 = 323334

Therefore, the lowest common multiple of 99,71,138 is 323334.

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.

99 x 71 x 138 = 970002

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.

99 : 1, 3, 9, 11, 33, 99

71 : 1, 71

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 99,71,138, is 1.

Now, the common factors can be found like this.

99:3x 3x 11

71:71

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 970002/(1x3)

LCM = 970002/3

LCM = 323334

Thus, we can understand that the LCM of 99,71,138 is 323334.

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

• LCM of 68, 82, 196
• LCM of 43, 19, 680
• LCM of 67, 80, 111
• LCM of 21, 74, 597
• LCM of 48, 29, 707

1. What is the LCM of 99, 71, 138?

Answer: LCM of 99, 71, 138 is 323334.

2. How to calculate the LCM of 99, 71, 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 99, 71, 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}.