LCM of 522, 243, 519, 531, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 243, 519, 531, 750 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 522, 243, 519, 531, 750. So, keep reading to learn more.
Given numbers are 522,243,519,531,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,243,519,531,750 is 17982182250.
Find LCM of 522,243,519,531,750 with Prime Factorization
| 2 | 522, 243, 519, 531, 750 |
| 3 | 261, 243, 519, 531, 375 |
| 3 | 87, 81, 173, 177, 125 |
| 29, 27, 173, 59, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 27 x 173 x 59 x 125 = 17982182250
Therefore, the lowest common multiple of 522,243,519,531,750 is 17982182250.
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.
522 x 243 x 519 x 531 x 750 = 26218021720500
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
243 : 1, 3, 9, 27, 81, 243
519 : 1, 3, 173, 519
531 : 1, 3, 9, 59, 177, 531
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,243,519,531,750, is 3.
Now, the common factors can be found like this.
522:2x 3x 3x 29
243:3x 3x 3x 3x 3
519:3x 173
531:3x 3x 59
750:2x 3x 5x 5x 5
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 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 26218021720500/(3x486)
LCM = 26218021720500/1458
LCM = 17982182250
Thus, we can understand that the LCM of 522,243,519,531,750 is 17982182250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 522, 243, 519, 531, 750
1. What is the LCM of 522, 243, 519, 531, 750?
Answer: LCM of 522, 243, 519, 531, 750 is 17982182250.
2. How to calculate the LCM of 522, 243, 519, 531, 750?
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 522, 243, 519, 531, 750.
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}.