LCM of 625, 324, 986, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 324, 986, 308 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, 986, 308. So, keep reading to learn more.
Given numbers are 625,324,986,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,324,986,308 is 7687102500.
Find LCM of 625,324,986,308 with Prime Factorization
| 2 | 625, 324, 986, 308 |
| 2 | 625, 162, 493, 154 |
| 625, 81, 493, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 625 x 81 x 493 x 77 = 7687102500
Therefore, the lowest common multiple of 625,324,986,308 is 7687102500.
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 986 x 308 = 61496820000
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,324,986,308, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
324:2x 2x 3x 3x 3x 3
986:2x 17x 29
308:2x 2x 7x 11
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 2 = 8
Therefore, the value for common factors is 8.
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 = 61496820000/(1x8)
LCM = 61496820000/8
LCM = 7687102500
Thus, we can understand that the LCM of 625,324,986,308 is 7687102500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 625, 324, 986, 308
1. What is the LCM of 625, 324, 986, 308?
Answer: LCM of 625, 324, 986, 308 is 7687102500.
2. How to calculate the LCM of 625, 324, 986, 308?
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, 986, 308.
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}.