Given numbers are 8355,3114

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

The LCM of 8355,3114 is 8672490.

Find LCM of 8355,3114 with Prime Factorization

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

3 x 2785 x 1038 = 8672490

Therefore, the lowest common multiple of 8355,3114 is 8672490.

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.

8355 x 3114 = 26017470

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.

8355 : 1, 3, 5, 15, 557, 1671, 2785, 8355

3114 : 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8355,3114, is 3.

Now, the common factors can be found like this.

8355:3x 5x 557

3114:2x 3x 3x 173

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

= 1

Therefore, the value for common factors is 1.

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 = 26017470/(3x1)

LCM = 26017470/3

LCM = 8672490

Thus, we can understand that the LCM of 8355,3114 is 8672490.

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

• LCM of 6694, 6339
• LCM of 6659, 5443
• LCM of 9043, 7889
• LCM of 3300, 7320
• LCM of 7398, 8967

1. What is the LCM of 8355, 3114?

Answer: LCM of 8355, 3114 is 8672490.

2. How to calculate the LCM of 8355, 3114?

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 8355, 3114.

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}.