Given numbers are 705,8735

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

The LCM of 705,8735 is 1231635.

Find LCM of 705,8735 with Prime Factorization

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

5 x 141 x 1747 = 1231635

Therefore, the lowest common multiple of 705,8735 is 1231635.

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 8735 = 6158175

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

8735 : 1, 5, 1747, 8735

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,8735, is 5.

Now, the common factors can be found like this.

705:3x 5x 47

8735:5x 1747

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

= 1

Therefore, the value for common factors is 1.

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 = 6158175/(5x1)

LCM = 6158175/5

LCM = 1231635

Thus, we can understand that the LCM of 705,8735 is 1231635.

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

• LCM of 273, 2118
• LCM of 304, 3117
• LCM of 965, 6642
• LCM of 493, 7388
• LCM of 663, 4454

1. What is the LCM of 705, 8735?

Answer: LCM of 705, 8735 is 1231635.

2. How to calculate the LCM of 705, 8735?

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, 8735.

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}.