Given numbers are 261,990,177,720

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

The LCM of 261,990,177,720 is 13551120.

Find LCM of 261,990,177,720 with Prime Factorization

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

2 x 3 x 3 x 5 x 29 x 11 x 59 x 8 = 13551120

Therefore, the lowest common multiple of 261,990,177,720 is 13551120.

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.

261 x 990 x 177 x 720 = 32929221600

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.

261 : 1, 3, 9, 29, 87, 261

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

177 : 1, 3, 59, 177

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,990,177,720, is 3.

Now, the common factors can be found like this.

261:3x 3x 29

990:2x 3x 3x 5x 11

177:3x 59

720:2x 2x 2x 2x 3x 3x 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 3x 3x 3x 3x 5 = 810

Therefore, the value for common factors is 810.

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 = 32929221600/(3x810)

LCM = 32929221600/2430

LCM = 13551120

Thus, we can understand that the LCM of 261,990,177,720 is 13551120.

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

• LCM of 619, 384, 303, 980
• LCM of 865, 878, 347, 683
• LCM of 145, 183, 660, 707
• LCM of 591, 444, 990, 943
• LCM of 460, 434, 895, 886

1. What is the LCM of 261, 990, 177, 720?

Answer: LCM of 261, 990, 177, 720 is 13551120.

2. How to calculate the LCM of 261, 990, 177, 720?

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 261, 990, 177, 720.

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}.