LCM of 344, 401, 989, 561, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 401, 989, 561, 468 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 344, 401, 989, 561, 468. So, keep reading to learn more.
Given numbers are 344,401,989,561,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,401,989,561,468 is 69415765848.
Find LCM of 344,401,989,561,468 with Prime Factorization
| 2 | 344, 401, 989, 561, 468 |
| 2 | 172, 401, 989, 561, 234 |
| 3 | 86, 401, 989, 561, 117 |
| 43 | 86, 401, 989, 187, 39 |
| 2, 401, 23, 187, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 2 x 401 x 23 x 187 x 39 = 69415765848
Therefore, the lowest common multiple of 344,401,989,561,468 is 69415765848.
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.
344 x 401 x 989 x 561 x 468 = 35818535177568
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
401 : 1, 401
989 : 1, 23, 43, 989
561 : 1, 3, 11, 17, 33, 51, 187, 561
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,401,989,561,468, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
401:401
989:23x 43
561:3x 11x 17
468:2x 2x 3x 3x 13
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 = 35818535177568/(1x516)
LCM = 35818535177568/516
LCM = 69415765848
Thus, we can understand that the LCM of 344,401,989,561,468 is 69415765848.
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FAQs on LCM of 344, 401, 989, 561, 468
1. What is the LCM of 344, 401, 989, 561, 468?
Answer: LCM of 344, 401, 989, 561, 468 is 69415765848.
2. How to calculate the LCM of 344, 401, 989, 561, 468?
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 344, 401, 989, 561, 468.
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}.