LCM of 508, 125, 612, 806, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 125, 612, 806, 325 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 508, 125, 612, 806, 325. So, keep reading to learn more.
Given numbers are 508,125,612,806,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,125,612,806,325 is 3915346500.
Find LCM of 508,125,612,806,325 with Prime Factorization
| 2 | 508, 125, 612, 806, 325 |
| 2 | 254, 125, 306, 403, 325 |
| 5 | 127, 125, 153, 403, 325 |
| 5 | 127, 25, 153, 403, 65 |
| 13 | 127, 5, 153, 403, 13 |
| 127, 5, 153, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 13 x 127 x 5 x 153 x 31 x 1 = 3915346500
Therefore, the lowest common multiple of 508,125,612,806,325 is 3915346500.
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.
508 x 125 x 612 x 806 x 325 = 10179900900000
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.
508 : 1, 2, 4, 127, 254, 508
125 : 1, 5, 25, 125
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
806 : 1, 2, 13, 26, 31, 62, 403, 806
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,125,612,806,325, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
125:5x 5x 5
612:2x 2x 3x 3x 17
806:2x 13x 31
325:5x 5x 13
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 2x 5x 5x 13 = 2600
Therefore, the value for common factors is 2600.
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 = 10179900900000/(1x2600)
LCM = 10179900900000/2600
LCM = 3915346500
Thus, we can understand that the LCM of 508,125,612,806,325 is 3915346500.
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FAQs on LCM of 508, 125, 612, 806, 325
1. What is the LCM of 508, 125, 612, 806, 325?
Answer: LCM of 508, 125, 612, 806, 325 is 3915346500.
2. How to calculate the LCM of 508, 125, 612, 806, 325?
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 508, 125, 612, 806, 325.
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}.