LCM of 668, 989, 420, 129, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 989, 420, 129, 230 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, 989, 420, 129, 230. So, keep reading to learn more.
Given numbers are 668,989,420,129,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,989,420,129,230 is 69368460.
Find LCM of 668,989,420,129,230 with Prime Factorization
| 2 | 668, 989, 420, 129, 230 |
| 2 | 334, 989, 210, 129, 115 |
| 3 | 167, 989, 105, 129, 115 |
| 5 | 167, 989, 35, 43, 115 |
| 23 | 167, 989, 7, 43, 23 |
| 43 | 167, 43, 7, 43, 1 |
| 167, 1, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 43 x 167 x 1 x 7 x 1 x 1 = 69368460
Therefore, the lowest common multiple of 668,989,420,129,230 is 69368460.
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 989 x 420 x 129 x 230 = 8232648832800
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
989 : 1, 23, 43, 989
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
129 : 1, 3, 43, 129
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,989,420,129,230, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
989:23x 43
420:2x 2x 3x 5x 7
129:3x 43
230:2x 5x 23
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 5x 23x 43 = 118680
Therefore, the value for common factors is 118680.
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 = 8232648832800/(1x118680)
LCM = 8232648832800/118680
LCM = 69368460
Thus, we can understand that the LCM of 668,989,420,129,230 is 69368460.
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FAQs on LCM of 668, 989, 420, 129, 230
1. What is the LCM of 668, 989, 420, 129, 230?
Answer: LCM of 668, 989, 420, 129, 230 is 69368460.
2. How to calculate the LCM of 668, 989, 420, 129, 230?
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, 989, 420, 129, 230.
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}.