Find the LCM of 822, 988, 742, 299, 558 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 822, 988, 742, 299, 558. So, keep reading to learn more.
Given numbers are 822,988,742,299,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,988,742,299,558 is 322242976692.
Find LCM of 822,988,742,299,558 with Prime Factorization
2 | 822, 988, 742, 299, 558 |
3 | 411, 494, 371, 299, 279 |
13 | 137, 494, 371, 299, 93 |
137, 38, 371, 23, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 137 x 38 x 371 x 23 x 93 = 322242976692
Therefore, the lowest common multiple of 822,988,742,299,558 is 322242976692.
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.
822 x 988 x 742 x 299 x 558 = 100539808727904
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
742 : 1, 2, 7, 14, 53, 106, 371, 742
299 : 1, 13, 23, 299
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,988,742,299,558, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
988:2x 2x 13x 19
742:2x 7x 53
299:13x 23
558:2x 3x 3x 31
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 100539808727904/(1x312)
LCM = 100539808727904/312
LCM = 322242976692
Thus, we can understand that the LCM of 822,988,742,299,558 is 322242976692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 988, 742, 299, 558?
Answer: LCM of 822, 988, 742, 299, 558 is 322242976692.
2. How to calculate the LCM of 822, 988, 742, 299, 558?
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 822, 988, 742, 299, 558.
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}.