LCM of 9415, 5355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9415, 5355 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 9415, 5355. So, keep reading to learn more.
Given numbers are 9415,5355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9415,5355 is 1440495.
Find LCM of 9415,5355 with Prime Factorization
| 5 | 9415, 5355 |
| 7 | 1883, 1071 |
| 269, 153 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 269 x 153 = 1440495
Therefore, the lowest common multiple of 9415,5355 is 1440495.
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.
9415 x 5355 = 50417325
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.
9415 : 1, 5, 7, 35, 269, 1345, 1883, 9415
5355 : 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
35 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9415,5355, is 35.
Now, the common factors can be found like this.
9415:5x 7x 269
5355:3x 3x 5x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 50417325/(35x1)
LCM = 50417325/35
LCM = 1440495
Thus, we can understand that the LCM of 9415,5355 is 1440495.
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FAQs on LCM of 9415, 5355
1. What is the LCM of 9415, 5355?
Answer: LCM of 9415, 5355 is 1440495.
2. How to calculate the LCM of 9415, 5355?
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 9415, 5355.
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}.