LCM of 519, 343, 938, 141, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 343, 938, 141, 722 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 519, 343, 938, 141, 722. So, keep reading to learn more.
Given numbers are 519,343,938,141,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,343,938,141,722 is 404735534826.
Find LCM of 519,343,938,141,722 with Prime Factorization
| 2 | 519, 343, 938, 141, 722 |
| 3 | 519, 343, 469, 141, 361 |
| 7 | 173, 343, 469, 47, 361 |
| 173, 49, 67, 47, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 173 x 49 x 67 x 47 x 361 = 404735534826
Therefore, the lowest common multiple of 519,343,938,141,722 is 404735534826.
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.
519 x 343 x 938 x 141 x 722 = 16998892462692
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.
519 : 1, 3, 173, 519
343 : 1, 7, 49, 343
938 : 1, 2, 7, 14, 67, 134, 469, 938
141 : 1, 3, 47, 141
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,343,938,141,722, is 1.
Now, the common factors can be found like this.
519:3x 173
343:7x 7x 7
938:2x 7x 67
141:3x 47
722:2x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 16998892462692/(1x42)
LCM = 16998892462692/42
LCM = 404735534826
Thus, we can understand that the LCM of 519,343,938,141,722 is 404735534826.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 519, 343, 938, 141, 722
1. What is the LCM of 519, 343, 938, 141, 722?
Answer: LCM of 519, 343, 938, 141, 722 is 404735534826.
2. How to calculate the LCM of 519, 343, 938, 141, 722?
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 519, 343, 938, 141, 722.
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}.