LCM of 411, 189, 411, 338, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 189, 411, 338, 431 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 411, 189, 411, 338, 431. So, keep reading to learn more.
Given numbers are 411,189,411,338,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,189,411,338,431 is 3772040454.
Find LCM of 411,189,411,338,431 with Prime Factorization
| 3 | 411, 189, 411, 338, 431 |
| 137 | 137, 63, 137, 338, 431 |
| 1, 63, 1, 338, 431 |
Multiply the prime numbers at the bottom and the left side.
3 x 137 x 1 x 63 x 1 x 338 x 431 = 3772040454
Therefore, the lowest common multiple of 411,189,411,338,431 is 3772040454.
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.
411 x 189 x 411 x 338 x 431 = 4650925879782
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.
411 : 1, 3, 137, 411
189 : 1, 3, 7, 9, 21, 27, 63, 189
411 : 1, 3, 137, 411
338 : 1, 2, 13, 26, 169, 338
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,189,411,338,431, is 1.
Now, the common factors can be found like this.
411:3x 137
189:3x 3x 3x 7
411:3x 137
338:2x 13x 13
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 137 = 1233
Therefore, the value for common factors is 1233.
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 = 4650925879782/(1x1233)
LCM = 4650925879782/1233
LCM = 3772040454
Thus, we can understand that the LCM of 411,189,411,338,431 is 3772040454.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 411, 189, 411, 338, 431
1. What is the LCM of 411, 189, 411, 338, 431?
Answer: LCM of 411, 189, 411, 338, 431 is 3772040454.
2. How to calculate the LCM of 411, 189, 411, 338, 431?
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 411, 189, 411, 338, 431.
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}.