LCM of 107, 108, 228, 342, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 108, 228, 342, 971 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 107, 108, 228, 342, 971. So, keep reading to learn more.
Given numbers are 107,108,228,342,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,108,228,342,971 is 213196644.
Find LCM of 107,108,228,342,971 with Prime Factorization
| 2 | 107, 108, 228, 342, 971 |
| 2 | 107, 54, 114, 171, 971 |
| 3 | 107, 27, 57, 171, 971 |
| 3 | 107, 9, 19, 57, 971 |
| 19 | 107, 3, 19, 19, 971 |
| 107, 3, 1, 1, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 107 x 3 x 1 x 1 x 971 = 213196644
Therefore, the lowest common multiple of 107,108,228,342,971 is 213196644.
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.
107 x 108 x 228 x 342 x 971 = 874959026976
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.
107 : 1, 107
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,108,228,342,971, is 1.
Now, the common factors can be found like this.
107:107
108:2x 2x 3x 3x 3
228:2x 2x 3x 19
342:2x 3x 3x 19
971:971
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 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 874959026976/(1x4104)
LCM = 874959026976/4104
LCM = 213196644
Thus, we can understand that the LCM of 107,108,228,342,971 is 213196644.
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FAQs on LCM of 107, 108, 228, 342, 971
1. What is the LCM of 107, 108, 228, 342, 971?
Answer: LCM of 107, 108, 228, 342, 971 is 213196644.
2. How to calculate the LCM of 107, 108, 228, 342, 971?
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 107, 108, 228, 342, 971.
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}.