Given numbers are 723,75,509

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

The LCM of 723,75,509 is 9200175.

Find LCM of 723,75,509 with Prime Factorization

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

3 x 241 x 25 x 509 = 9200175

Therefore, the lowest common multiple of 723,75,509 is 9200175.

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.

723 x 75 x 509 = 27600525

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.

723 : 1, 3, 241, 723

75 : 1, 3, 5, 15, 25, 75

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,75,509, is 1.

Now, the common factors can be found like this.

723:3x 241

75:3x 5x 5

509:509

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 = 27600525/(1x3)

LCM = 27600525/3

LCM = 9200175

Thus, we can understand that the LCM of 723,75,509 is 9200175.

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

• LCM of 746, 38, 621
• LCM of 692, 56, 418
• LCM of 428, 15, 114
• LCM of 958, 36, 712
• LCM of 427, 63, 763

1. What is the LCM of 723, 75, 509?

Answer: LCM of 723, 75, 509 is 9200175.

2. How to calculate the LCM of 723, 75, 509?

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 723, 75, 509.

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}.