Given numbers are 715,20,269

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

The LCM of 715,20,269 is 769340.

Find LCM of 715,20,269 with Prime Factorization

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

5 x 143 x 4 x 269 = 769340

Therefore, the lowest common multiple of 715,20,269 is 769340.

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.

715 x 20 x 269 = 3846700

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

20 : 1, 2, 4, 5, 10, 20

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,20,269, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

20:2x 2x 5

269:269

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

5 = 5

Therefore, the value for common factors is 5.

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 = 3846700/(1x5)

LCM = 3846700/5

LCM = 769340

Thus, we can understand that the LCM of 715,20,269 is 769340.

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

• LCM of 201, 40, 949
• LCM of 381, 19, 475
• LCM of 508, 53, 218
• LCM of 515, 42, 224
• LCM of 158, 77, 305

1. What is the LCM of 715, 20, 269?

Answer: LCM of 715, 20, 269 is 769340.

2. How to calculate the LCM of 715, 20, 269?

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 715, 20, 269.

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}.