Given numbers are 460,27,993

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

The LCM of 460,27,993 is 4111020.

Find LCM of 460,27,993 with Prime Factorization

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

3 x 460 x 9 x 331 = 4111020

Therefore, the lowest common multiple of 460,27,993 is 4111020.

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.

460 x 27 x 993 = 12333060

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

27 : 1, 3, 9, 27

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,27,993, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

27:3x 3x 3

993:3x 331

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 = 12333060/(1x3)

LCM = 12333060/3

LCM = 4111020

Thus, we can understand that the LCM of 460,27,993 is 4111020.

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

• LCM of 861, 22, 904
• LCM of 923, 51, 137
• LCM of 790, 49, 847
• LCM of 893, 74, 190
• LCM of 507, 80, 175

1. What is the LCM of 460, 27, 993?

Answer: LCM of 460, 27, 993 is 4111020.

2. How to calculate the LCM of 460, 27, 993?

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 460, 27, 993.

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}.