Given numbers are 221,188,290,24

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

The LCM of 221,188,290,24 is 36146760.

Find LCM of 221,188,290,24 with Prime Factorization

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

2 x 2 x 221 x 47 x 145 x 6 = 36146760

Therefore, the lowest common multiple of 221,188,290,24 is 36146760.

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.

221 x 188 x 290 x 24 = 289174080

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.

221 : 1, 13, 17, 221

188 : 1, 2, 4, 47, 94, 188

290 : 1, 2, 5, 10, 29, 58, 145, 290

24 : 1, 2, 3, 4, 6, 8, 12, 24

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,188,290,24, is 1.

Now, the common factors can be found like this.

221:13x 17

188:2x 2x 47

290:2x 5x 29

24:2x 2x 2x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 289174080/(1x8)

LCM = 289174080/8

LCM = 36146760

Thus, we can understand that the LCM of 221,188,290,24 is 36146760.

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

• LCM of 901, 261, 629, 55
• LCM of 455, 218, 180, 22
• LCM of 685, 775, 983, 50
• LCM of 813, 951, 716, 44
• LCM of 256, 723, 711, 77

1. What is the LCM of 221, 188, 290, 24?

Answer: LCM of 221, 188, 290, 24 is 36146760.

2. How to calculate the LCM of 221, 188, 290, 24?

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 221, 188, 290, 24.

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}.