Given numbers are 24,51,44,119

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

The LCM of 24,51,44,119 is 31416.

Find LCM of 24,51,44,119 with Prime Factorization

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

2 x 2 x 3 x 17 x 2 x 1 x 11 x 7 = 31416

Therefore, the lowest common multiple of 24,51,44,119 is 31416.

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 51 x 44 x 119 = 6408864

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

51 : 1, 3, 17, 51

44 : 1, 2, 4, 11, 22, 44

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 24,51,44,119, is 1.

Now, the common factors can be found like this.

24:2x 2x 2x 3

51:3x 17

44:2x 2x 11

119:7x 17

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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 6408864/(1x204)

LCM = 6408864/204

LCM = 31416

Thus, we can understand that the LCM of 24,51,44,119 is 31416.

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

• LCM of 42, 38, 61, 357
• LCM of 59, 13, 35, 587
• LCM of 30, 56, 78, 685
• LCM of 47, 19, 54, 166
• LCM of 80, 59, 89, 887

1. What is the LCM of 24, 51, 44, 119?

Answer: LCM of 24, 51, 44, 119 is 31416.

2. How to calculate the LCM of 24, 51, 44, 119?

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, 51, 44, 119.

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}.