Given numbers are 484,988,208,676,110

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

The LCM of 484,988,208,676,110 is 31082480.

Find LCM of 484,988,208,676,110 with Prime Factorization

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

2 x 2 x 11 x 13 x 11 x 19 x 4 x 13 x 5 = 31082480

Therefore, the lowest common multiple of 484,988,208,676,110 is 31082480.

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.

484 x 988 x 208 x 676 x 110 = 7396138280960

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

110 : 1, 2, 5, 10, 11, 22, 55, 110

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,988,208,676,110, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

988:2x 2x 13x 19

208:2x 2x 2x 2x 13

676:2x 2x 13x 13

110:2x 5x 11

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 11x 13x 13 = 118976

Therefore, the value for common factors is 118976.

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 = 7396138280960/(2x118976)

LCM = 7396138280960/237952

LCM = 31082480

Thus, we can understand that the LCM of 484,988,208,676,110 is 31082480.

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

• LCM of 765, 517, 997, 838, 101
• LCM of 297, 486, 238, 111, 355
• LCM of 383, 404, 412, 299, 652
• LCM of 933, 420, 361, 781, 763
• LCM of 797, 815, 917, 267, 703

1. What is the LCM of 484, 988, 208, 676, 110?

Answer: LCM of 484, 988, 208, 676, 110 is 31082480.

2. How to calculate the LCM of 484, 988, 208, 676, 110?

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 484, 988, 208, 676, 110.

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}.