Given numbers are 276,221,534,878,720

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

The LCM of 276,221,534,878,720 is 142990482960.

Find LCM of 276,221,534,878,720 with Prime Factorization

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

2 x 2 x 3 x 23 x 221 x 89 x 439 x 60 = 142990482960

Therefore, the lowest common multiple of 276,221,534,878,720 is 142990482960.

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 221 x 534 x 878 x 720 = 20590629546240

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

221 : 1, 13, 17, 221

534 : 1, 2, 3, 6, 89, 178, 267, 534

878 : 1, 2, 439, 878

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,221,534,878,720, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

221:13x 17

534:2x 3x 89

878:2x 439

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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 20590629546240/(1x144)

LCM = 20590629546240/144

LCM = 142990482960

Thus, we can understand that the LCM of 276,221,534,878,720 is 142990482960.

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

• LCM of 620, 730, 413, 679, 202
• LCM of 798, 290, 299, 227, 787
• LCM of 393, 256, 213, 792, 806
• LCM of 549, 705, 114, 200, 136
• LCM of 510, 117, 964, 516, 184

1. What is the LCM of 276, 221, 534, 878, 720?

Answer: LCM of 276, 221, 534, 878, 720 is 142990482960.

2. How to calculate the LCM of 276, 221, 534, 878, 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 276, 221, 534, 878, 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}.