Given numbers are 988,533,812,551,312

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

The LCM of 988,533,812,551,312 is 49338744.

Find LCM of 988,533,812,551,312 with Prime Factorization

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

2 x 2 x 13 x 19 x 29 x 1 x 41 x 7 x 1 x 6 = 49338744

Therefore, the lowest common multiple of 988,533,812,551,312 is 49338744.

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 533 x 812 x 551 x 312 = 73509992040576

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

533 : 1, 13, 41, 533

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

551 : 1, 19, 29, 551

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,533,812,551,312, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

533:13x 41

812:2x 2x 7x 29

551:19x 29

312:2x 2x 2x 3x 13

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 13x 13x 19x 29 = 1489904

Therefore, the value for common factors is 1489904.

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 = 73509992040576/(1x1489904)

LCM = 73509992040576/1489904

LCM = 49338744

Thus, we can understand that the LCM of 988,533,812,551,312 is 49338744.

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

• LCM of 985, 878, 911, 631, 625
• LCM of 213, 357, 264, 550, 170
• LCM of 837, 214, 637, 148, 481
• LCM of 645, 322, 524, 658, 953
• LCM of 123, 903, 856, 315, 118

1. What is the LCM of 988, 533, 812, 551, 312?

Answer: LCM of 988, 533, 812, 551, 312 is 49338744.

2. How to calculate the LCM of 988, 533, 812, 551, 312?

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, 533, 812, 551, 312.

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}.