Find the LCM of 668, 988, 189, 676, 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 668, 988, 189, 676, 558. So, keep reading to learn more.
Given numbers are 668,988,189,676,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,988,189,676,558 is 12567250332.
Find LCM of 668,988,189,676,558 with Prime Factorization
2 | 668, 988, 189, 676, 558 |
2 | 334, 494, 189, 338, 279 |
3 | 167, 247, 189, 169, 279 |
3 | 167, 247, 63, 169, 93 |
13 | 167, 247, 21, 169, 31 |
167, 19, 21, 13, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 167 x 19 x 21 x 13 x 31 = 12567250332
Therefore, the lowest common multiple of 668,988,189,676,558 is 12567250332.
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.
668 x 988 x 189 x 676 x 558 = 47051785243008
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.
668 : 1, 2, 4, 167, 334, 668
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
189 : 1, 3, 7, 9, 21, 27, 63, 189
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
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 668,988,189,676,558, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
988:2x 2x 13x 19
189:3x 3x 3x 7
676:2x 2x 13x 13
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 2x 2x 3x 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 47051785243008/(1x3744)
LCM = 47051785243008/3744
LCM = 12567250332
Thus, we can understand that the LCM of 668,988,189,676,558 is 12567250332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 988, 189, 676, 558?
Answer: LCM of 668, 988, 189, 676, 558 is 12567250332.
2. How to calculate the LCM of 668, 988, 189, 676, 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 668, 988, 189, 676, 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}.