LCM of 874, 484, 126, 997, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 484, 126, 997, 171 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 874, 484, 126, 997, 171. So, keep reading to learn more.
Given numbers are 874,484,126,997,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,484,126,997,171 is 13285028988.
Find LCM of 874,484,126,997,171 with Prime Factorization
| 2 | 874, 484, 126, 997, 171 |
| 3 | 437, 242, 63, 997, 171 |
| 3 | 437, 242, 21, 997, 57 |
| 19 | 437, 242, 7, 997, 19 |
| 23, 242, 7, 997, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 23 x 242 x 7 x 997 x 1 = 13285028988
Therefore, the lowest common multiple of 874,484,126,997,171 is 13285028988.
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.
874 x 484 x 126 x 997 x 171 = 9086959827792
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
997 : 1, 997
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,484,126,997,171, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
484:2x 2x 11x 11
126:2x 3x 3x 7
997:997
171:3x 3x 19
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 9086959827792/(1x684)
LCM = 9086959827792/684
LCM = 13285028988
Thus, we can understand that the LCM of 874,484,126,997,171 is 13285028988.
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FAQs on LCM of 874, 484, 126, 997, 171
1. What is the LCM of 874, 484, 126, 997, 171?
Answer: LCM of 874, 484, 126, 997, 171 is 13285028988.
2. How to calculate the LCM of 874, 484, 126, 997, 171?
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 874, 484, 126, 997, 171.
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}.