LCM of 989, 493, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 493, 414 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, 493, 414. So, keep reading to learn more.
Given numbers are 989,493,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,493,414 is 8776386.
Find LCM of 989,493,414 with Prime Factorization
| 23 | 989, 493, 414 |
| 43, 493, 18 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 493 x 18 = 8776386
Therefore, the lowest common multiple of 989,493,414 is 8776386.
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 493 x 414 = 201856878
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
493 : 1, 17, 29, 493
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,493,414, is 1.
Now, the common factors can be found like this.
989:23x 43
493:17x 29
414:2x 3x 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.
23 = 23
Therefore, the value for common factors is 23.
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 = 201856878/(1x23)
LCM = 201856878/23
LCM = 8776386
Thus, we can understand that the LCM of 989,493,414 is 8776386.
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FAQs on LCM of 989, 493, 414
1. What is the LCM of 989, 493, 414?
Answer: LCM of 989, 493, 414 is 8776386.
2. How to calculate the LCM of 989, 493, 414?
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, 493, 414.
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}.