LCM of 174, 126, 684, 646, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 126, 684, 646, 898 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 174, 126, 684, 646, 898. So, keep reading to learn more.
Given numbers are 174,126,684,646,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,126,684,646,898 is 1059857316.
Find LCM of 174,126,684,646,898 with Prime Factorization
| 2 | 174, 126, 684, 646, 898 |
| 3 | 87, 63, 342, 323, 449 |
| 3 | 29, 21, 114, 323, 449 |
| 19 | 29, 7, 38, 323, 449 |
| 29, 7, 2, 17, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 29 x 7 x 2 x 17 x 449 = 1059857316
Therefore, the lowest common multiple of 174,126,684,646,898 is 1059857316.
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.
174 x 126 x 684 x 646 x 898 = 8699308849728
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
646 : 1, 2, 17, 19, 34, 38, 323, 646
898 : 1, 2, 449, 898
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,126,684,646,898, is 2.
Now, the common factors can be found like this.
174:2x 3x 29
126:2x 3x 3x 7
684:2x 2x 3x 3x 19
646:2x 17x 19
898:2x 449
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 = 8699308849728/(2x4104)
LCM = 8699308849728/8208
LCM = 1059857316
Thus, we can understand that the LCM of 174,126,684,646,898 is 1059857316.
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FAQs on LCM of 174, 126, 684, 646, 898
1. What is the LCM of 174, 126, 684, 646, 898?
Answer: LCM of 174, 126, 684, 646, 898 is 1059857316.
2. How to calculate the LCM of 174, 126, 684, 646, 898?
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 174, 126, 684, 646, 898.
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}.