LCM of 541, 838, 235, 129, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 838, 235, 129, 135 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 541, 838, 235, 129, 135. So, keep reading to learn more.
Given numbers are 541,838,235,129,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,838,235,129,135 is 123691929930.
Find LCM of 541,838,235,129,135 with Prime Factorization
| 3 | 541, 838, 235, 129, 135 |
| 5 | 541, 838, 235, 43, 45 |
| 541, 838, 47, 43, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 541 x 838 x 47 x 43 x 9 = 123691929930
Therefore, the lowest common multiple of 541,838,235,129,135 is 123691929930.
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.
541 x 838 x 235 x 129 x 135 = 1855378948950
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.
541 : 1, 541
838 : 1, 2, 419, 838
235 : 1, 5, 47, 235
129 : 1, 3, 43, 129
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,838,235,129,135, is 1.
Now, the common factors can be found like this.
541:541
838:2x 419
235:5x 47
129:3x 43
135:3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 1855378948950/(1x15)
LCM = 1855378948950/15
LCM = 123691929930
Thus, we can understand that the LCM of 541,838,235,129,135 is 123691929930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 838, 235, 129, 135
1. What is the LCM of 541, 838, 235, 129, 135?
Answer: LCM of 541, 838, 235, 129, 135 is 123691929930.
2. How to calculate the LCM of 541, 838, 235, 129, 135?
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 541, 838, 235, 129, 135.
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}.