LCM of 725, 312, 301, 547, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 312, 301, 547, 510 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 725, 312, 301, 547, 510. So, keep reading to learn more.
Given numbers are 725,312,301,547,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,312,301,547,510 is 633133573800.
Find LCM of 725,312,301,547,510 with Prime Factorization
| 2 | 725, 312, 301, 547, 510 |
| 3 | 725, 156, 301, 547, 255 |
| 5 | 725, 52, 301, 547, 85 |
| 145, 52, 301, 547, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 145 x 52 x 301 x 547 x 17 = 633133573800
Therefore, the lowest common multiple of 725,312,301,547,510 is 633133573800.
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.
725 x 312 x 301 x 547 x 510 = 18994007214000
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.
725 : 1, 5, 25, 29, 145, 725
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
301 : 1, 7, 43, 301
547 : 1, 547
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,312,301,547,510, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
312:2x 2x 2x 3x 13
301:7x 43
547:547
510:2x 3x 5x 17
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 5 = 30
Therefore, the value for common factors is 30.
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 = 18994007214000/(1x30)
LCM = 18994007214000/30
LCM = 633133573800
Thus, we can understand that the LCM of 725,312,301,547,510 is 633133573800.
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FAQs on LCM of 725, 312, 301, 547, 510
1. What is the LCM of 725, 312, 301, 547, 510?
Answer: LCM of 725, 312, 301, 547, 510 is 633133573800.
2. How to calculate the LCM of 725, 312, 301, 547, 510?
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 725, 312, 301, 547, 510.
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}.