Given numbers are 807,269,135

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

The LCM of 807,269,135 is 36315.

Find LCM of 807,269,135 with Prime Factorization

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

3 x 269 x 1 x 1 x 45 = 36315

Therefore, the lowest common multiple of 807,269,135 is 36315.

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.

807 x 269 x 135 = 29306205

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.

807 : 1, 3, 269, 807

269 : 1, 269

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,269,135, is 1.

Now, the common factors can be found like this.

807:3x 269

269:269

135:3x 3x 3x 5

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

3x 269 = 807

Therefore, the value for common factors is 807.

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 = 29306205/(1x807)

LCM = 29306205/807

LCM = 36315

Thus, we can understand that the LCM of 807,269,135 is 36315.

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

• LCM of 105, 885, 160
• LCM of 886, 738, 399
• LCM of 742, 991, 574
• LCM of 253, 756, 367
• LCM of 523, 506, 754

1. What is the LCM of 807, 269, 135?

Answer: LCM of 807, 269, 135 is 36315.

2. How to calculate the LCM of 807, 269, 135?

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 807, 269, 135.

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}.