LCM of 512, 261, 899, 708, 625
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 261, 899, 708, 625 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 512, 261, 899, 708, 625. So, keep reading to learn more.
Given numbers are 512,261,899,708,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,261,899,708,625 is 152758080000.
Find LCM of 512,261,899,708,625 with Prime Factorization
| 2 | 512, 261, 899, 708, 625 |
| 2 | 256, 261, 899, 354, 625 |
| 3 | 128, 261, 899, 177, 625 |
| 29 | 128, 87, 899, 59, 625 |
| 128, 3, 31, 59, 625 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 128 x 3 x 31 x 59 x 625 = 152758080000
Therefore, the lowest common multiple of 512,261,899,708,625 is 152758080000.
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.
512 x 261 x 899 x 708 x 625 = 53159811840000
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
261 : 1, 3, 9, 29, 87, 261
899 : 1, 29, 31, 899
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,261,899,708,625, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
261:3x 3x 29
899:29x 31
708:2x 2x 3x 59
625:5x 5x 5x 5
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 29 = 348
Therefore, the value for common factors is 348.
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 = 53159811840000/(1x348)
LCM = 53159811840000/348
LCM = 152758080000
Thus, we can understand that the LCM of 512,261,899,708,625 is 152758080000.
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FAQs on LCM of 512, 261, 899, 708, 625
1. What is the LCM of 512, 261, 899, 708, 625?
Answer: LCM of 512, 261, 899, 708, 625 is 152758080000.
2. How to calculate the LCM of 512, 261, 899, 708, 625?
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 512, 261, 899, 708, 625.
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}.