LCM of 812, 174, 144, 580, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 174, 144, 580, 223 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 812, 174, 144, 580, 223. So, keep reading to learn more.
Given numbers are 812,174,144,580,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,174,144,580,223 is 32593680.
Find LCM of 812,174,144,580,223 with Prime Factorization
| 2 | 812, 174, 144, 580, 223 |
| 2 | 406, 87, 72, 290, 223 |
| 3 | 203, 87, 36, 145, 223 |
| 29 | 203, 29, 12, 145, 223 |
| 7, 1, 12, 5, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 7 x 1 x 12 x 5 x 223 = 32593680
Therefore, the lowest common multiple of 812,174,144,580,223 is 32593680.
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.
812 x 174 x 144 x 580 x 223 = 2631483348480
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
174 : 1, 2, 3, 6, 29, 58, 87, 174
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,174,144,580,223, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
174:2x 3x 29
144:2x 2x 2x 2x 3x 3
580:2x 2x 5x 29
223:223
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 3x 29x 29 = 80736
Therefore, the value for common factors is 80736.
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 = 2631483348480/(1x80736)
LCM = 2631483348480/80736
LCM = 32593680
Thus, we can understand that the LCM of 812,174,144,580,223 is 32593680.
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FAQs on LCM of 812, 174, 144, 580, 223
1. What is the LCM of 812, 174, 144, 580, 223?
Answer: LCM of 812, 174, 144, 580, 223 is 32593680.
2. How to calculate the LCM of 812, 174, 144, 580, 223?
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 812, 174, 144, 580, 223.
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}.