LCM of 790, 812, 685, 174, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 812, 685, 174, 261 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 790, 812, 685, 174, 261. So, keep reading to learn more.
Given numbers are 790,812,685,174,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,812,685,174,261 is 395472420.
Find LCM of 790,812,685,174,261 with Prime Factorization
| 2 | 790, 812, 685, 174, 261 |
| 3 | 395, 406, 685, 87, 261 |
| 5 | 395, 406, 685, 29, 87 |
| 29 | 79, 406, 137, 29, 87 |
| 79, 14, 137, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 79 x 14 x 137 x 1 x 3 = 395472420
Therefore, the lowest common multiple of 790,812,685,174,261 is 395472420.
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.
790 x 812 x 685 x 174 x 261 = 19955538313200
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
685 : 1, 5, 137, 685
174 : 1, 2, 3, 6, 29, 58, 87, 174
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,812,685,174,261, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
812:2x 2x 7x 29
685:5x 137
174:2x 3x 29
261:3x 3x 29
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 5x 29x 29 = 50460
Therefore, the value for common factors is 50460.
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 = 19955538313200/(1x50460)
LCM = 19955538313200/50460
LCM = 395472420
Thus, we can understand that the LCM of 790,812,685,174,261 is 395472420.
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FAQs on LCM of 790, 812, 685, 174, 261
1. What is the LCM of 790, 812, 685, 174, 261?
Answer: LCM of 790, 812, 685, 174, 261 is 395472420.
2. How to calculate the LCM of 790, 812, 685, 174, 261?
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 790, 812, 685, 174, 261.
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}.