Given numbers are 765,784,489

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

The LCM of 765,784,489 is 97760880.

Find LCM of 765,784,489 with Prime Factorization

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

3 x 255 x 784 x 163 = 97760880

Therefore, the lowest common multiple of 765,784,489 is 97760880.

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 784 x 489 = 293282640

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,784,489, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

784:2x 2x 2x 2x 7x 7

489:3x 163

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 = 293282640/(1x3)

LCM = 293282640/3

LCM = 97760880

Thus, we can understand that the LCM of 765,784,489 is 97760880.

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

• LCM of 642, 189, 419
• LCM of 840, 971, 521
• LCM of 458, 824, 507
• LCM of 992, 203, 297
• LCM of 889, 847, 953

1. What is the LCM of 765, 784, 489?

Answer: LCM of 765, 784, 489 is 97760880.

2. How to calculate the LCM of 765, 784, 489?

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, 784, 489.

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}.