Given numbers are 705,24,381

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

The LCM of 705,24,381 is 716280.

Find LCM of 705,24,381 with Prime Factorization

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

3 x 235 x 8 x 127 = 716280

Therefore, the lowest common multiple of 705,24,381 is 716280.

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.

705 x 24 x 381 = 6446520

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

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

381 : 1, 3, 127, 381

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,24,381, is 3.

Now, the common factors can be found like this.

705:3x 5x 47

24:2x 2x 2x 3

381:3x 127

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6446520/(3x3)

LCM = 6446520/9

LCM = 716280

Thus, we can understand that the LCM of 705,24,381 is 716280.

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

• LCM of 243, 51, 683
• LCM of 533, 32, 443
• LCM of 623, 27, 144
• LCM of 508, 20, 193
• LCM of 975, 47, 656

1. What is the LCM of 705, 24, 381?

Answer: LCM of 705, 24, 381 is 716280.

2. How to calculate the LCM of 705, 24, 381?

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 705, 24, 381.

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}.