LCM of 523, 265, 505, 996, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 265, 505, 996, 498 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 523, 265, 505, 996, 498. So, keep reading to learn more.
Given numbers are 523,265,505,996,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,265,505,996,498 is 13942102620.
Find LCM of 523,265,505,996,498 with Prime Factorization
| 2 | 523, 265, 505, 996, 498 |
| 3 | 523, 265, 505, 498, 249 |
| 5 | 523, 265, 505, 166, 83 |
| 83 | 523, 53, 101, 166, 83 |
| 523, 53, 101, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 523 x 53 x 101 x 2 x 1 = 13942102620
Therefore, the lowest common multiple of 523,265,505,996,498 is 13942102620.
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.
523 x 265 x 505 x 996 x 498 = 34715835523800
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.
523 : 1, 523
265 : 1, 5, 53, 265
505 : 1, 5, 101, 505
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,265,505,996,498, is 1.
Now, the common factors can be found like this.
523:523
265:5x 53
505:5x 101
996:2x 2x 3x 83
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 83 = 2490
Therefore, the value for common factors is 2490.
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 = 34715835523800/(1x2490)
LCM = 34715835523800/2490
LCM = 13942102620
Thus, we can understand that the LCM of 523,265,505,996,498 is 13942102620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 265, 505, 996, 498
1. What is the LCM of 523, 265, 505, 996, 498?
Answer: LCM of 523, 265, 505, 996, 498 is 13942102620.
2. How to calculate the LCM of 523, 265, 505, 996, 498?
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 523, 265, 505, 996, 498.
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}.