LCM of 903, 412, 912, 913, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 412, 912, 913, 946 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 903, 412, 912, 913, 946. So, keep reading to learn more.
Given numbers are 903,412,912,913,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,412,912,913,946 is 25814833968.
Find LCM of 903,412,912,913,946 with Prime Factorization
| 2 | 903, 412, 912, 913, 946 |
| 2 | 903, 206, 456, 913, 473 |
| 3 | 903, 103, 228, 913, 473 |
| 11 | 301, 103, 76, 913, 473 |
| 43 | 301, 103, 76, 83, 43 |
| 7, 103, 76, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 43 x 7 x 103 x 76 x 83 x 1 = 25814833968
Therefore, the lowest common multiple of 903,412,912,913,946 is 25814833968.
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.
903 x 412 x 912 x 913 x 946 = 293049995204736
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
412 : 1, 2, 4, 103, 206, 412
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
913 : 1, 11, 83, 913
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,412,912,913,946, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
412:2x 2x 103
912:2x 2x 2x 2x 3x 19
913:11x 83
946:2x 11x 43
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 11x 43 = 11352
Therefore, the value for common factors is 11352.
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 = 293049995204736/(1x11352)
LCM = 293049995204736/11352
LCM = 25814833968
Thus, we can understand that the LCM of 903,412,912,913,946 is 25814833968.
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FAQs on LCM of 903, 412, 912, 913, 946
1. What is the LCM of 903, 412, 912, 913, 946?
Answer: LCM of 903, 412, 912, 913, 946 is 25814833968.
2. How to calculate the LCM of 903, 412, 912, 913, 946?
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 903, 412, 912, 913, 946.
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}.