LCM of 331, 413, 177, 307, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 413, 177, 307, 543 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 331, 413, 177, 307, 543. So, keep reading to learn more.
Given numbers are 331,413,177,307,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,413,177,307,543 is 22788526803.
Find LCM of 331,413,177,307,543 with Prime Factorization
| 3 | 331, 413, 177, 307, 543 |
| 59 | 331, 413, 59, 307, 181 |
| 331, 7, 1, 307, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 59 x 331 x 7 x 1 x 307 x 181 = 22788526803
Therefore, the lowest common multiple of 331,413,177,307,543 is 22788526803.
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.
331 x 413 x 177 x 307 x 543 = 4033569244131
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.
331 : 1, 331
413 : 1, 7, 59, 413
177 : 1, 3, 59, 177
307 : 1, 307
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,413,177,307,543, is 1.
Now, the common factors can be found like this.
331:331
413:7x 59
177:3x 59
307:307
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 59 = 177
Therefore, the value for common factors is 177.
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 = 4033569244131/(1x177)
LCM = 4033569244131/177
LCM = 22788526803
Thus, we can understand that the LCM of 331,413,177,307,543 is 22788526803.
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FAQs on LCM of 331, 413, 177, 307, 543
1. What is the LCM of 331, 413, 177, 307, 543?
Answer: LCM of 331, 413, 177, 307, 543 is 22788526803.
2. How to calculate the LCM of 331, 413, 177, 307, 543?
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 331, 413, 177, 307, 543.
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}.