LCM of 291, 344, 419, 885, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 344, 419, 885, 172 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 291, 344, 419, 885, 172. So, keep reading to learn more.
Given numbers are 291,344,419,885,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,344,419,885,172 is 12373354920.
Find LCM of 291,344,419,885,172 with Prime Factorization
| 2 | 291, 344, 419, 885, 172 |
| 2 | 291, 172, 419, 885, 86 |
| 3 | 291, 43, 419, 885, 86 |
| 43 | 97, 43, 419, 295, 86 |
| 97, 1, 419, 295, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 97 x 1 x 419 x 295 x 2 = 12373354920
Therefore, the lowest common multiple of 291,344,419,885,172 is 12373354920.
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.
291 x 344 x 419 x 885 x 172 = 6384651138720
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.
291 : 1, 3, 97, 291
344 : 1, 2, 4, 8, 43, 86, 172, 344
419 : 1, 419
885 : 1, 3, 5, 15, 59, 177, 295, 885
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,344,419,885,172, is 1.
Now, the common factors can be found like this.
291:3x 97
344:2x 2x 2x 43
419:419
885:3x 5x 59
172:2x 2x 43
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 43 = 516
Therefore, the value for common factors is 516.
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 = 6384651138720/(1x516)
LCM = 6384651138720/516
LCM = 12373354920
Thus, we can understand that the LCM of 291,344,419,885,172 is 12373354920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 291, 344, 419, 885, 172
1. What is the LCM of 291, 344, 419, 885, 172?
Answer: LCM of 291, 344, 419, 885, 172 is 12373354920.
2. How to calculate the LCM of 291, 344, 419, 885, 172?
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 291, 344, 419, 885, 172.
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}.