LCM of 468, 431, 338, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 431, 338, 282 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 468, 431, 338, 282. So, keep reading to learn more.
Given numbers are 468,431,338,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,431,338,282 is 123243588.
Find LCM of 468,431,338,282 with Prime Factorization
| 2 | 468, 431, 338, 282 |
| 3 | 234, 431, 169, 141 |
| 13 | 78, 431, 169, 47 |
| 6, 431, 13, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 6 x 431 x 13 x 47 = 123243588
Therefore, the lowest common multiple of 468,431,338,282 is 123243588.
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.
468 x 431 x 338 x 282 = 19225999728
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
431 : 1, 431
338 : 1, 2, 13, 26, 169, 338
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,431,338,282, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
431:431
338:2x 13x 13
282:2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 19225999728/(1x156)
LCM = 19225999728/156
LCM = 123243588
Thus, we can understand that the LCM of 468,431,338,282 is 123243588.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 468, 431, 338, 282
1. What is the LCM of 468, 431, 338, 282?
Answer: LCM of 468, 431, 338, 282 is 123243588.
2. How to calculate the LCM of 468, 431, 338, 282?
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 468, 431, 338, 282.
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}.