Given numbers are 248,120,138,177,808

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

The LCM of 248,120,138,177,808 is 509852040.

Find LCM of 248,120,138,177,808 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 5 x 23 x 59 x 101 = 509852040

Therefore, the lowest common multiple of 248,120,138,177,808 is 509852040.

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.

248 x 120 x 138 x 177 x 808 = 587349550080

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

177 : 1, 3, 59, 177

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,120,138,177,808, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

120:2x 2x 2x 3x 5

138:2x 3x 23

177:3x 59

808:2x 2x 2x 101

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 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 587349550080/(1x1152)

LCM = 587349550080/1152

LCM = 509852040

Thus, we can understand that the LCM of 248,120,138,177,808 is 509852040.

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

• LCM of 179, 824, 517, 403, 960
• LCM of 700, 423, 798, 553, 251
• LCM of 658, 950, 966, 239, 839
• LCM of 928, 386, 139, 245, 560
• LCM of 476, 175, 528, 834, 229

1. What is the LCM of 248, 120, 138, 177, 808?

Answer: LCM of 248, 120, 138, 177, 808 is 509852040.

2. How to calculate the LCM of 248, 120, 138, 177, 808?

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 248, 120, 138, 177, 808.

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}.