LCM of 483, 529, 828, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 483, 529, 828, 527 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 483, 529, 828, 527. So, keep reading to learn more.
Given numbers are 483,529,828,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,529,828,527 is 70253316.
Find LCM of 483,529,828,527 with Prime Factorization
| 3 | 483, 529, 828, 527 |
| 23 | 161, 529, 276, 527 |
| 7, 23, 12, 527 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 7 x 23 x 12 x 527 = 70253316
Therefore, the lowest common multiple of 483,529,828,527 is 70253316.
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.
483 x 529 x 828 x 527 = 111492012492
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
529 : 1, 23, 529
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,529,828,527, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
529:23x 23
828:2x 2x 3x 3x 23
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 23 = 1587
Therefore, the value for common factors is 1587.
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 = 111492012492/(1x1587)
LCM = 111492012492/1587
LCM = 70253316
Thus, we can understand that the LCM of 483,529,828,527 is 70253316.
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FAQs on LCM of 483, 529, 828, 527
1. What is the LCM of 483, 529, 828, 527?
Answer: LCM of 483, 529, 828, 527 is 70253316.
2. How to calculate the LCM of 483, 529, 828, 527?
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 483, 529, 828, 527.
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}.