LCM of 488, 297, 915, 413, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 488, 297, 915, 413, 463 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 488, 297, 915, 413, 463. So, keep reading to learn more.
Given numbers are 488,297,915,413,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 488,297,915,413,463 is 138572584920.
Find LCM of 488,297,915,413,463 with Prime Factorization
| 3 | 488, 297, 915, 413, 463 |
| 61 | 488, 99, 305, 413, 463 |
| 8, 99, 5, 413, 463 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 8 x 99 x 5 x 413 x 463 = 138572584920
Therefore, the lowest common multiple of 488,297,915,413,463 is 138572584920.
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.
488 x 297 x 915 x 413 x 463 = 25358783040360
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.
488 : 1, 2, 4, 8, 61, 122, 244, 488
297 : 1, 3, 9, 11, 27, 33, 99, 297
915 : 1, 3, 5, 15, 61, 183, 305, 915
413 : 1, 7, 59, 413
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,297,915,413,463, is 1.
Now, the common factors can be found like this.
488:2x 2x 2x 61
297:3x 3x 3x 11
915:3x 5x 61
413:7x 59
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 25358783040360/(1x183)
LCM = 25358783040360/183
LCM = 138572584920
Thus, we can understand that the LCM of 488,297,915,413,463 is 138572584920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 488, 297, 915, 413, 463
1. What is the LCM of 488, 297, 915, 413, 463?
Answer: LCM of 488, 297, 915, 413, 463 is 138572584920.
2. How to calculate the LCM of 488, 297, 915, 413, 463?
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 488, 297, 915, 413, 463.
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}.