Given numbers are 277,249,901,120,828

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

The LCM of 277,249,901,120,828 is 171519297480.

Find LCM of 277,249,901,120,828 with Prime Factorization

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

2 x 2 x 3 x 277 x 83 x 901 x 10 x 69 = 171519297480

Therefore, the lowest common multiple of 277,249,901,120,828 is 171519297480.

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.

277 x 249 x 901 x 120 x 828 = 6174694709280

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.

277 : 1, 277

249 : 1, 3, 83, 249

901 : 1, 17, 53, 901

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,249,901,120,828, is 1.

Now, the common factors can be found like this.

277:277

249:3x 83

901:17x 53

120:2x 2x 2x 3x 5

828:2x 2x 3x 3x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 6174694709280/(1x36)

LCM = 6174694709280/36

LCM = 171519297480

Thus, we can understand that the LCM of 277,249,901,120,828 is 171519297480.

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

• LCM of 644, 399, 886, 265, 243
• LCM of 270, 706, 474, 404, 182
• LCM of 291, 635, 884, 423, 796
• LCM of 609, 956, 140, 484, 984
• LCM of 376, 215, 640, 244, 297

1. What is the LCM of 277, 249, 901, 120, 828?

Answer: LCM of 277, 249, 901, 120, 828 is 171519297480.

2. How to calculate the LCM of 277, 249, 901, 120, 828?

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 277, 249, 901, 120, 828.

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}.