Given numbers are 243,15,102

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

The LCM of 243,15,102 is 41310.

Find LCM of 243,15,102 with Prime Factorization

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

3 x 81 x 5 x 34 = 41310

Therefore, the lowest common multiple of 243,15,102 is 41310.

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.

243 x 15 x 102 = 371790

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.

243 : 1, 3, 9, 27, 81, 243

15 : 1, 3, 5, 15

102 : 1, 2, 3, 6, 17, 34, 51, 102

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,15,102, is 3.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

15:3x 5

102:2x 3x 17

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 = 371790/(3x3)

LCM = 371790/9

LCM = 41310

Thus, we can understand that the LCM of 243,15,102 is 41310.

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

• LCM of 964, 52, 250
• LCM of 657, 99, 711
• LCM of 204, 48, 337
• LCM of 316, 26, 239
• LCM of 224, 18, 602

1. What is the LCM of 243, 15, 102?

Answer: LCM of 243, 15, 102 is 41310.

2. How to calculate the LCM of 243, 15, 102?

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 243, 15, 102.

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}.