Given numbers are 24,15,41,55,689

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

The LCM of 24,15,41,55,689 is 37288680.

Find LCM of 24,15,41,55,689 with Prime Factorization

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

3 x 5 x 8 x 1 x 41 x 11 x 689 = 37288680

Therefore, the lowest common multiple of 24,15,41,55,689 is 37288680.

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.

24 x 15 x 41 x 55 x 689 = 559330200

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.

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

15 : 1, 3, 5, 15

41 : 1, 41

55 : 1, 5, 11, 55

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 24,15,41,55,689, is 1.

Now, the common factors can be found like this.

24:2x 2x 2x 3

15:3x 5

41:41

55:5x 11

689:13x 53

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 559330200/(1x15)

LCM = 559330200/15

LCM = 37288680

Thus, we can understand that the LCM of 24,15,41,55,689 is 37288680.

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

• LCM of 73, 55, 64, 12, 460
• LCM of 87, 20, 64, 34, 154
• LCM of 83, 41, 47, 33, 579
• LCM of 54, 42, 71, 28, 647
• LCM of 45, 25, 83, 78, 169

1. What is the LCM of 24, 15, 41, 55, 689?

Answer: LCM of 24, 15, 41, 55, 689 is 37288680.

2. How to calculate the LCM of 24, 15, 41, 55, 689?

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 24, 15, 41, 55, 689.

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}.