Given numbers are 765,745,424

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

The LCM of 765,745,424 is 48329640.

Find LCM of 765,745,424 with Prime Factorization

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

5 x 153 x 149 x 424 = 48329640

Therefore, the lowest common multiple of 765,745,424 is 48329640.

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.

765 x 745 x 424 = 241648200

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

745 : 1, 5, 149, 745

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,745,424, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

745:5x 149

424:2x 2x 2x 53

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 = 241648200/(1x5)

LCM = 241648200/5

LCM = 48329640

Thus, we can understand that the LCM of 765,745,424 is 48329640.

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

• LCM of 639, 635, 570
• LCM of 860, 804, 805
• LCM of 688, 192, 465
• LCM of 880, 233, 845
• LCM of 194, 921, 339

1. What is the LCM of 765, 745, 424?

Answer: LCM of 765, 745, 424 is 48329640.

2. How to calculate the LCM of 765, 745, 424?

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 765, 745, 424.

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}.