LCM of 527, 625, 301, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 625, 301, 525 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 527, 625, 301, 525. So, keep reading to learn more.
Given numbers are 527,625,301,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,625,301,525 is 297425625.
Find LCM of 527,625,301,525 with Prime Factorization
| 5 | 527, 625, 301, 525 |
| 5 | 527, 125, 301, 105 |
| 7 | 527, 25, 301, 21 |
| 527, 25, 43, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 7 x 527 x 25 x 43 x 3 = 297425625
Therefore, the lowest common multiple of 527,625,301,525 is 297425625.
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.
527 x 625 x 301 x 525 = 52049484375
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.
527 : 1, 17, 31, 527
625 : 1, 5, 25, 125, 625
301 : 1, 7, 43, 301
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,625,301,525, is 1.
Now, the common factors can be found like this.
527:17x 31
625:5x 5x 5x 5
301:7x 43
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 52049484375/(1x175)
LCM = 52049484375/175
LCM = 297425625
Thus, we can understand that the LCM of 527,625,301,525 is 297425625.
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FAQs on LCM of 527, 625, 301, 525
1. What is the LCM of 527, 625, 301, 525?
Answer: LCM of 527, 625, 301, 525 is 297425625.
2. How to calculate the LCM of 527, 625, 301, 525?
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 527, 625, 301, 525.
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}.