Given numbers are 276,780,915,675

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

The LCM of 276,780,915,675 is 49245300.

Find LCM of 276,780,915,675 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 13 x 61 x 45 = 49245300

Therefore, the lowest common multiple of 276,780,915,675 is 49245300.

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.

276 x 780 x 915 x 675 = 132962310000

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

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

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,780,915,675, is 3.

Now, the common factors can be found like this.

276:2x 2x 3x 23

780:2x 2x 3x 5x 13

915:3x 5x 61

675:3x 3x 3x 5x 5

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

2x 2x 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 132962310000/(3x900)

LCM = 132962310000/2700

LCM = 49245300

Thus, we can understand that the LCM of 276,780,915,675 is 49245300.

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

• LCM of 457, 449, 874, 938
• LCM of 769, 627, 354, 649
• LCM of 203, 521, 185, 950
• LCM of 105, 705, 528, 525
• LCM of 266, 398, 626, 197

1. What is the LCM of 276, 780, 915, 675?

Answer: LCM of 276, 780, 915, 675 is 49245300.

2. How to calculate the LCM of 276, 780, 915, 675?

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 276, 780, 915, 675.

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}.