LCM of 174, 160, 884, 912, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 160, 884, 912, 247 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, 160, 884, 912, 247. So, keep reading to learn more.
Given numbers are 174,160,884,912,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,160,884,912,247 is 58450080.
Find LCM of 174,160,884,912,247 with Prime Factorization
| 2 | 174, 160, 884, 912, 247 |
| 2 | 87, 80, 442, 456, 247 |
| 2 | 87, 40, 221, 228, 247 |
| 2 | 87, 20, 221, 114, 247 |
| 3 | 87, 10, 221, 57, 247 |
| 13 | 29, 10, 221, 19, 247 |
| 19 | 29, 10, 17, 19, 19 |
| 29, 10, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 19 x 29 x 10 x 17 x 1 x 1 = 58450080
Therefore, the lowest common multiple of 174,160,884,912,247 is 58450080.
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 160 x 884 x 912 x 247 = 5543873187840
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
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,160,884,912,247, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
160:2x 2x 2x 2x 2x 5
884:2x 2x 13x 17
912:2x 2x 2x 2x 3x 19
247:13x 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 2x 2x 2x 2x 2x 3x 13x 19 = 94848
Therefore, the value for common factors is 94848.
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 = 5543873187840/(1x94848)
LCM = 5543873187840/94848
LCM = 58450080
Thus, we can understand that the LCM of 174,160,884,912,247 is 58450080.
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FAQs on LCM of 174, 160, 884, 912, 247
1. What is the LCM of 174, 160, 884, 912, 247?
Answer: LCM of 174, 160, 884, 912, 247 is 58450080.
2. How to calculate the LCM of 174, 160, 884, 912, 247?
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, 160, 884, 912, 247.
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}.