LCM of 226, 127, 945, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 127, 945, 635 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 226, 127, 945, 635. So, keep reading to learn more.
Given numbers are 226,127,945,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,127,945,635 is 27123390.
Find LCM of 226,127,945,635 with Prime Factorization
| 5 | 226, 127, 945, 635 |
| 127 | 226, 127, 189, 127 |
| 226, 1, 189, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 127 x 226 x 1 x 189 x 1 = 27123390
Therefore, the lowest common multiple of 226,127,945,635 is 27123390.
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.
226 x 127 x 945 x 635 = 17223352650
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.
226 : 1, 2, 113, 226
127 : 1, 127
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,127,945,635, is 1.
Now, the common factors can be found like this.
226:2x 113
127:127
945:3x 3x 3x 5x 7
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 127 = 635
Therefore, the value for common factors is 635.
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 = 17223352650/(1x635)
LCM = 17223352650/635
LCM = 27123390
Thus, we can understand that the LCM of 226,127,945,635 is 27123390.
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FAQs on LCM of 226, 127, 945, 635
1. What is the LCM of 226, 127, 945, 635?
Answer: LCM of 226, 127, 945, 635 is 27123390.
2. How to calculate the LCM of 226, 127, 945, 635?
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 226, 127, 945, 635.
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}.