LCM of 102, 340, 849, 992, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 340, 849, 992, 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 102, 340, 849, 992, 558. So, keep reading to learn more.
Given numbers are 102,340,849,992,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,340,849,992,558 is 214763040.
Find LCM of 102,340,849,992,558 with Prime Factorization
| 2 | 102, 340, 849, 992, 558 |
| 2 | 51, 170, 849, 496, 279 |
| 3 | 51, 85, 849, 248, 279 |
| 17 | 17, 85, 283, 248, 93 |
| 31 | 1, 5, 283, 248, 93 |
| 1, 5, 283, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 31 x 1 x 5 x 283 x 8 x 3 = 214763040
Therefore, the lowest common multiple of 102,340,849,992,558 is 214763040.
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.
102 x 340 x 849 x 992 x 558 = 16297937579520
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
849 : 1, 3, 283, 849
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
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 102,340,849,992,558, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
340:2x 2x 5x 17
849:3x 283
992:2x 2x 2x 2x 2x 31
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 3x 3x 17x 31 = 75888
Therefore, the value for common factors is 75888.
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 = 16297937579520/(1x75888)
LCM = 16297937579520/75888
LCM = 214763040
Thus, we can understand that the LCM of 102,340,849,992,558 is 214763040.
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FAQs on LCM of 102, 340, 849, 992, 558
1. What is the LCM of 102, 340, 849, 992, 558?
Answer: LCM of 102, 340, 849, 992, 558 is 214763040.
2. How to calculate the LCM of 102, 340, 849, 992, 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 102, 340, 849, 992, 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}.