LCM of 327, 975, 831, 512, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 975, 831, 512, 650 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 327, 975, 831, 512, 650. So, keep reading to learn more.
Given numbers are 327,975,831,512,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,975,831,512,650 is 15072345600.
Find LCM of 327,975,831,512,650 with Prime Factorization
| 2 | 327, 975, 831, 512, 650 |
| 3 | 327, 975, 831, 256, 325 |
| 5 | 109, 325, 277, 256, 325 |
| 5 | 109, 65, 277, 256, 65 |
| 13 | 109, 13, 277, 256, 13 |
| 109, 1, 277, 256, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 109 x 1 x 277 x 256 x 1 = 15072345600
Therefore, the lowest common multiple of 327,975,831,512,650 is 15072345600.
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.
327 x 975 x 831 x 512 x 650 = 88173221760000
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.
327 : 1, 3, 109, 327
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
831 : 1, 3, 277, 831
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,975,831,512,650, is 1.
Now, the common factors can be found like this.
327:3x 109
975:3x 5x 5x 13
831:3x 277
512:2x 2x 2x 2x 2x 2x 2x 2x 2
650:2x 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 3x 3x 5x 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 88173221760000/(1x5850)
LCM = 88173221760000/5850
LCM = 15072345600
Thus, we can understand that the LCM of 327,975,831,512,650 is 15072345600.
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FAQs on LCM of 327, 975, 831, 512, 650
1. What is the LCM of 327, 975, 831, 512, 650?
Answer: LCM of 327, 975, 831, 512, 650 is 15072345600.
2. How to calculate the LCM of 327, 975, 831, 512, 650?
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 327, 975, 831, 512, 650.
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}.