Given numbers are 24,55,814

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

The LCM of 24,55,814 is 48840.

Find LCM of 24,55,814 with Prime Factorization

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

2 x 11 x 12 x 5 x 37 = 48840

Therefore, the lowest common multiple of 24,55,814 is 48840.

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 55 x 814 = 1074480

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

55 : 1, 5, 11, 55

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 24,55,814, is 1.

Now, the common factors can be found like this.

24:2x 2x 2x 3

55:5x 11

814:2x 11x 37

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 1074480/(1x22)

LCM = 1074480/22

LCM = 48840

Thus, we can understand that the LCM of 24,55,814 is 48840.

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

• LCM of 34, 86, 155
• LCM of 94, 11, 807
• LCM of 26, 24, 414
• LCM of 21, 22, 893
• LCM of 27, 88, 167

1. What is the LCM of 24, 55, 814?

Answer: LCM of 24, 55, 814 is 48840.

2. How to calculate the LCM of 24, 55, 814?

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, 55, 814.

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}.