LCM of 625, 324, 533, 204, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 324, 533, 204, 725 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 625, 324, 533, 204, 725. So, keep reading to learn more.
Given numbers are 625,324,533,204,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,324,533,204,725 is 53210722500.
Find LCM of 625,324,533,204,725 with Prime Factorization
| 2 | 625, 324, 533, 204, 725 |
| 2 | 625, 162, 533, 102, 725 |
| 3 | 625, 81, 533, 51, 725 |
| 5 | 625, 27, 533, 17, 725 |
| 5 | 125, 27, 533, 17, 145 |
| 25, 27, 533, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 25 x 27 x 533 x 17 x 29 = 53210722500
Therefore, the lowest common multiple of 625,324,533,204,725 is 53210722500.
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.
625 x 324 x 533 x 204 x 725 = 15963216750000
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.
625 : 1, 5, 25, 125, 625
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
533 : 1, 13, 41, 533
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,324,533,204,725, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
324:2x 2x 3x 3x 3x 3
533:13x 41
204:2x 2x 3x 17
725:5x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 15963216750000/(1x300)
LCM = 15963216750000/300
LCM = 53210722500
Thus, we can understand that the LCM of 625,324,533,204,725 is 53210722500.
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FAQs on LCM of 625, 324, 533, 204, 725
1. What is the LCM of 625, 324, 533, 204, 725?
Answer: LCM of 625, 324, 533, 204, 725 is 53210722500.
2. How to calculate the LCM of 625, 324, 533, 204, 725?
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 625, 324, 533, 204, 725.
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}.