LCM of 658, 102, 196, 108, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 102, 196, 108, 323 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 658, 102, 196, 108, 323. So, keep reading to learn more.
Given numbers are 658,102,196,108,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,102,196,108,323 is 80337852.
Find LCM of 658,102,196,108,323 with Prime Factorization
| 2 | 658, 102, 196, 108, 323 |
| 2 | 329, 51, 98, 54, 323 |
| 3 | 329, 51, 49, 27, 323 |
| 7 | 329, 17, 49, 9, 323 |
| 17 | 47, 17, 7, 9, 323 |
| 47, 1, 7, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 47 x 1 x 7 x 9 x 19 = 80337852
Therefore, the lowest common multiple of 658,102,196,108,323 is 80337852.
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.
658 x 102 x 196 x 108 x 323 = 458889810624
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
102 : 1, 2, 3, 6, 17, 34, 51, 102
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,102,196,108,323, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
102:2x 3x 17
196:2x 2x 7x 7
108:2x 2x 3x 3x 3
323:17x 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 3x 7x 17 = 5712
Therefore, the value for common factors is 5712.
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 = 458889810624/(1x5712)
LCM = 458889810624/5712
LCM = 80337852
Thus, we can understand that the LCM of 658,102,196,108,323 is 80337852.
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FAQs on LCM of 658, 102, 196, 108, 323
1. What is the LCM of 658, 102, 196, 108, 323?
Answer: LCM of 658, 102, 196, 108, 323 is 80337852.
2. How to calculate the LCM of 658, 102, 196, 108, 323?
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 658, 102, 196, 108, 323.
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}.