LCM of 670, 165, 198, 460, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 165, 198, 460, 819 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 670, 165, 198, 460, 819. So, keep reading to learn more.
Given numbers are 670,165,198,460,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,165,198,460,819 is 277657380.
Find LCM of 670,165,198,460,819 with Prime Factorization
| 2 | 670, 165, 198, 460, 819 |
| 3 | 335, 165, 99, 230, 819 |
| 3 | 335, 55, 33, 230, 273 |
| 5 | 335, 55, 11, 230, 91 |
| 11 | 67, 11, 11, 46, 91 |
| 67, 1, 1, 46, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 67 x 1 x 1 x 46 x 91 = 277657380
Therefore, the lowest common multiple of 670,165,198,460,819 is 277657380.
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.
670 x 165 x 198 x 460 x 819 = 8246424186000
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
165 : 1, 3, 5, 11, 15, 33, 55, 165
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,165,198,460,819, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
165:3x 5x 11
198:2x 3x 3x 11
460:2x 2x 5x 23
819:3x 3x 7x 13
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 3x 5x 5x 11 = 29700
Therefore, the value for common factors is 29700.
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 = 8246424186000/(1x29700)
LCM = 8246424186000/29700
LCM = 277657380
Thus, we can understand that the LCM of 670,165,198,460,819 is 277657380.
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FAQs on LCM of 670, 165, 198, 460, 819
1. What is the LCM of 670, 165, 198, 460, 819?
Answer: LCM of 670, 165, 198, 460, 819 is 277657380.
2. How to calculate the LCM of 670, 165, 198, 460, 819?
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 670, 165, 198, 460, 819.
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}.