Given numbers are 344,24,919

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

The LCM of 344,24,919 is 948408.

Find LCM of 344,24,919 with Prime Factorization

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

2 x 2 x 2 x 43 x 3 x 919 = 948408

Therefore, the lowest common multiple of 344,24,919 is 948408.

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.

344 x 24 x 919 = 7587264

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,24,919, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

24:2x 2x 2x 3

919:919

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 = 7587264/(1x8)

LCM = 7587264/8

LCM = 948408

Thus, we can understand that the LCM of 344,24,919 is 948408.

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

• LCM of 552, 84, 618
• LCM of 812, 94, 103
• LCM of 993, 77, 280
• LCM of 488, 83, 683
• LCM of 355, 65, 373

1. What is the LCM of 344, 24, 919?

Answer: LCM of 344, 24, 919 is 948408.

2. How to calculate the LCM of 344, 24, 919?

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 344, 24, 919.

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}.