Given numbers are 780,753,915,489

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

The LCM of 780,753,915,489 is 1946640540.

Find LCM of 780,753,915,489 with Prime Factorization

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

3 x 5 x 52 x 251 x 61 x 163 = 1946640540

Therefore, the lowest common multiple of 780,753,915,489 is 1946640540.

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.

780 x 753 x 915 x 489 = 262796472900

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

753 : 1, 3, 251, 753

915 : 1, 3, 5, 15, 61, 183, 305, 915

489 : 1, 3, 163, 489

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,753,915,489, is 3.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

753:3x 251

915:3x 5x 61

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.

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 262796472900/(3x45)

LCM = 262796472900/135

LCM = 1946640540

Thus, we can understand that the LCM of 780,753,915,489 is 1946640540.

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

• LCM of 806, 767, 101, 584
• LCM of 373, 270, 663, 619
• LCM of 583, 465, 870, 715
• LCM of 294, 306, 742, 765
• LCM of 734, 720, 264, 802

1. What is the LCM of 780, 753, 915, 489?

Answer: LCM of 780, 753, 915, 489 is 1946640540.

2. How to calculate the LCM of 780, 753, 915, 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 780, 753, 915, 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}.