LCM of 989, 414, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 414, 138 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 989, 414, 138. So, keep reading to learn more.
Given numbers are 989,414,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,414,138 is 17802.
Find LCM of 989,414,138 with Prime Factorization
| 2 | 989, 414, 138 |
| 3 | 989, 207, 69 |
| 23 | 989, 23, 69 |
| 43, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 43 x 1 x 3 = 17802
Therefore, the lowest common multiple of 989,414,138 is 17802.
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.
989 x 414 x 138 = 56503548
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.
989 : 1, 23, 43, 989
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
138 : 1, 2, 3, 6, 23, 46, 69, 138
23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,414,138, is 23.
Now, the common factors can be found like this.
989:23x 43
414:2x 3x 3x 23
138:2x 3x 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 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 56503548/(23x138)
LCM = 56503548/3174
LCM = 17802
Thus, we can understand that the LCM of 989,414,138 is 17802.
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FAQs on LCM of 989, 414, 138
1. What is the LCM of 989, 414, 138?
Answer: LCM of 989, 414, 138 is 17802.
2. How to calculate the LCM of 989, 414, 138?
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 989, 414, 138.
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}.