LCM of 313, 414, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 414, 989 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 313, 414, 989. So, keep reading to learn more.
Given numbers are 313,414,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,414,989 is 5572026.
Find LCM of 313,414,989 with Prime Factorization
| 23 | 313, 414, 989 |
| 313, 18, 43 |
Multiply the prime numbers at the bottom and the left side.
23 x 313 x 18 x 43 = 5572026
Therefore, the lowest common multiple of 313,414,989 is 5572026.
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.
313 x 414 x 989 = 128156598
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.
313 : 1, 313
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,414,989, is 1.
Now, the common factors can be found like this.
313:313
414:2x 3x 3x 23
989:23x 43
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 = 128156598/(1x23)
LCM = 128156598/23
LCM = 5572026
Thus, we can understand that the LCM of 313,414,989 is 5572026.
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FAQs on LCM of 313, 414, 989
1. What is the LCM of 313, 414, 989?
Answer: LCM of 313, 414, 989 is 5572026.
2. How to calculate the LCM of 313, 414, 989?
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 313, 414, 989.
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}.