LCM of 685, 903, 602, 520, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 903, 602, 520, 329 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 685, 903, 602, 520, 329. So, keep reading to learn more.
Given numbers are 685,903,602,520,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,903,602,520,329 is 3023496840.
Find LCM of 685,903,602,520,329 with Prime Factorization
| 2 | 685, 903, 602, 520, 329 |
| 5 | 685, 903, 301, 260, 329 |
| 7 | 137, 903, 301, 52, 329 |
| 43 | 137, 129, 43, 52, 47 |
| 137, 3, 1, 52, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 43 x 137 x 3 x 1 x 52 x 47 = 3023496840
Therefore, the lowest common multiple of 685,903,602,520,329 is 3023496840.
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.
685 x 903 x 602 x 520 x 329 = 63705078418800
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.
685 : 1, 5, 137, 685
903 : 1, 3, 7, 21, 43, 129, 301, 903
602 : 1, 2, 7, 14, 43, 86, 301, 602
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,903,602,520,329, is 1.
Now, the common factors can be found like this.
685:5x 137
903:3x 7x 43
602:2x 7x 43
520:2x 2x 2x 5x 13
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7x 43 = 21070
Therefore, the value for common factors is 21070.
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 = 63705078418800/(1x21070)
LCM = 63705078418800/21070
LCM = 3023496840
Thus, we can understand that the LCM of 685,903,602,520,329 is 3023496840.
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FAQs on LCM of 685, 903, 602, 520, 329
1. What is the LCM of 685, 903, 602, 520, 329?
Answer: LCM of 685, 903, 602, 520, 329 is 3023496840.
2. How to calculate the LCM of 685, 903, 602, 520, 329?
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 685, 903, 602, 520, 329.
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}.