LCM of 831, 203, 539, 253, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 203, 539, 253, 138 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 831, 203, 539, 253, 138. So, keep reading to learn more.
Given numbers are 831,203,539,253,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,203,539,253,138 is 597510606.
Find LCM of 831,203,539,253,138 with Prime Factorization
| 3 | 831, 203, 539, 253, 138 |
| 7 | 277, 203, 539, 253, 46 |
| 11 | 277, 29, 77, 253, 46 |
| 23 | 277, 29, 7, 23, 46 |
| 277, 29, 7, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 23 x 277 x 29 x 7 x 1 x 2 = 597510606
Therefore, the lowest common multiple of 831,203,539,253,138 is 597510606.
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.
831 x 203 x 539 x 253 x 138 = 3174573849678
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.
831 : 1, 3, 277, 831
203 : 1, 7, 29, 203
539 : 1, 7, 11, 49, 77, 539
253 : 1, 11, 23, 253
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,203,539,253,138, is 1.
Now, the common factors can be found like this.
831:3x 277
203:7x 29
539:7x 7x 11
253:11x 23
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 23 = 5313
Therefore, the value for common factors is 5313.
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 = 3174573849678/(1x5313)
LCM = 3174573849678/5313
LCM = 597510606
Thus, we can understand that the LCM of 831,203,539,253,138 is 597510606.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 831, 203, 539, 253, 138
1. What is the LCM of 831, 203, 539, 253, 138?
Answer: LCM of 831, 203, 539, 253, 138 is 597510606.
2. How to calculate the LCM of 831, 203, 539, 253, 138?
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 831, 203, 539, 253, 138.
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}.