Given numbers are 45,54,286

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

The LCM of 45,54,286 is 38610.

Find LCM of 45,54,286 with Prime Factorization

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

2 x 3 x 3 x 5 x 3 x 143 = 38610

Therefore, the lowest common multiple of 45,54,286 is 38610.

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.

45 x 54 x 286 = 694980

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.

45 : 1, 3, 5, 9, 15, 45

54 : 1, 2, 3, 6, 9, 18, 27, 54

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 45,54,286, is 1.

Now, the common factors can be found like this.

45:3x 3x 5

54:2x 3x 3x 3

286:2x 11x 13

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 694980/(1x18)

LCM = 694980/18

LCM = 38610

Thus, we can understand that the LCM of 45,54,286 is 38610.

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

• LCM of 83, 52, 528
• LCM of 32, 11, 716
• LCM of 93, 64, 102
• LCM of 29, 54, 888
• LCM of 96, 55, 446

1. What is the LCM of 45, 54, 286?

Answer: LCM of 45, 54, 286 is 38610.

2. How to calculate the LCM of 45, 54, 286?

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 45, 54, 286.

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}.