Given numbers are 9729,8507

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

The LCM of 9729,8507 is 1760949.

Find LCM of 9729,8507 with Prime Factorization

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

47 x 207 x 181 = 1760949

Therefore, the lowest common multiple of 9729,8507 is 1760949.

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.

9729 x 8507 = 82764603

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.

9729 : 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729

8507 : 1, 47, 181, 8507

47 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9729,8507, is 47.

Now, the common factors can be found like this.

9729:3x 3x 23x 47

8507:47x 181

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 = 82764603/(47x1)

LCM = 82764603/47

LCM = 1760949

Thus, we can understand that the LCM of 9729,8507 is 1760949.

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

• LCM of 6655, 9193
• LCM of 4186, 6284
• LCM of 2925, 2622
• LCM of 6602, 1900
• LCM of 1322, 7227

1. What is the LCM of 9729, 8507?

Answer: LCM of 9729, 8507 is 1760949.

2. How to calculate the LCM of 9729, 8507?

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 9729, 8507.

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}.