LCM of 329, 378, 851, 644, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 378, 851, 644, 686 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 329, 378, 851, 644, 686. So, keep reading to learn more.
Given numbers are 329,378,851,644,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,378,851,644,686 is 1481648868.
Find LCM of 329,378,851,644,686 with Prime Factorization
| 2 | 329, 378, 851, 644, 686 |
| 7 | 329, 189, 851, 322, 343 |
| 23 | 47, 27, 851, 46, 49 |
| 47, 27, 37, 2, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 47 x 27 x 37 x 2 x 49 = 1481648868
Therefore, the lowest common multiple of 329,378,851,644,686 is 1481648868.
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.
329 x 378 x 851 x 644 x 686 = 46754911678608
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.
329 : 1, 7, 47, 329
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
851 : 1, 23, 37, 851
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,378,851,644,686, is 1.
Now, the common factors can be found like this.
329:7x 47
378:2x 3x 3x 3x 7
851:23x 37
644:2x 2x 7x 23
686:2x 7x 7x 7
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 7x 7x 7x 23 = 31556
Therefore, the value for common factors is 31556.
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 = 46754911678608/(1x31556)
LCM = 46754911678608/31556
LCM = 1481648868
Thus, we can understand that the LCM of 329,378,851,644,686 is 1481648868.
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FAQs on LCM of 329, 378, 851, 644, 686
1. What is the LCM of 329, 378, 851, 644, 686?
Answer: LCM of 329, 378, 851, 644, 686 is 1481648868.
2. How to calculate the LCM of 329, 378, 851, 644, 686?
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 329, 378, 851, 644, 686.
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}.