Given numbers are 73,36,584

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

The LCM of 73,36,584 is 5256.

Find LCM of 73,36,584 with Prime Factorization

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

2 x 2 x 73 x 1 x 9 x 2 = 5256

Therefore, the lowest common multiple of 73,36,584 is 5256.

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.

73 x 36 x 584 = 1534752

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.

73 : 1, 73

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 73,36,584, is 1.

Now, the common factors can be found like this.

73:73

36:2x 2x 3x 3

584:2x 2x 2x 73

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

2x 2x 73 = 292

Therefore, the value for common factors is 292.

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 = 1534752/(1x292)

LCM = 1534752/292

LCM = 5256

Thus, we can understand that the LCM of 73,36,584 is 5256.

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

• LCM of 95, 70, 496
• LCM of 26, 83, 772
• LCM of 46, 48, 256
• LCM of 57, 93, 609
• LCM of 52, 65, 346

1. What is the LCM of 73, 36, 584?

Answer: LCM of 73, 36, 584 is 5256.

2. How to calculate the LCM of 73, 36, 584?

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 73, 36, 584.

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}.