Given numbers are 988,510,259,914,880

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

The LCM of 988,510,259,914,880 is 1312096465680.

Find LCM of 988,510,259,914,880 with Prime Factorization

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

2 x 2 x 5 x 247 x 51 x 259 x 457 x 44 = 1312096465680

Therefore, the lowest common multiple of 988,510,259,914,880 is 1312096465680.

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.

988 x 510 x 259 x 914 x 880 = 104967717254400

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.

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

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

259 : 1, 7, 37, 259

914 : 1, 2, 457, 914

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,510,259,914,880, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

510:2x 3x 5x 17

259:7x 37

914:2x 457

880:2x 2x 2x 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 5 = 80

Therefore, the value for common factors is 80.

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 = 104967717254400/(1x80)

LCM = 104967717254400/80

LCM = 1312096465680

Thus, we can understand that the LCM of 988,510,259,914,880 is 1312096465680.

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

• LCM of 171, 432, 525, 309, 817
• LCM of 939, 841, 592, 415, 338
• LCM of 388, 826, 686, 437, 882
• LCM of 379, 349, 447, 370, 883
• LCM of 654, 797, 736, 806, 825

1. What is the LCM of 988, 510, 259, 914, 880?

Answer: LCM of 988, 510, 259, 914, 880 is 1312096465680.

2. How to calculate the LCM of 988, 510, 259, 914, 880?

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 988, 510, 259, 914, 880.

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}.