LCM of 838, 138, 253, 583, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 138, 253, 583, 159 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 838, 138, 253, 583, 159. So, keep reading to learn more.
Given numbers are 838,138,253,583,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,138,253,583,159 is 33710226.
Find LCM of 838,138,253,583,159 with Prime Factorization
| 2 | 838, 138, 253, 583, 159 |
| 3 | 419, 69, 253, 583, 159 |
| 11 | 419, 23, 253, 583, 53 |
| 23 | 419, 23, 23, 53, 53 |
| 53 | 419, 1, 1, 53, 53 |
| 419, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 53 x 419 x 1 x 1 x 1 x 1 = 33710226
Therefore, the lowest common multiple of 838,138,253,583,159 is 33710226.
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.
838 x 138 x 253 x 583 x 159 = 2712122522604
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.
838 : 1, 2, 419, 838
138 : 1, 2, 3, 6, 23, 46, 69, 138
253 : 1, 11, 23, 253
583 : 1, 11, 53, 583
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,138,253,583,159, is 1.
Now, the common factors can be found like this.
838:2x 419
138:2x 3x 23
253:11x 23
583:11x 53
159:3x 53
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 11x 23x 53 = 80454
Therefore, the value for common factors is 80454.
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 = 2712122522604/(1x80454)
LCM = 2712122522604/80454
LCM = 33710226
Thus, we can understand that the LCM of 838,138,253,583,159 is 33710226.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 138, 253, 583, 159
1. What is the LCM of 838, 138, 253, 583, 159?
Answer: LCM of 838, 138, 253, 583, 159 is 33710226.
2. How to calculate the LCM of 838, 138, 253, 583, 159?
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 838, 138, 253, 583, 159.
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}.