LCM of 512, 567, 600, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 567, 600, 901 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, 567, 600, 901. So, keep reading to learn more.
Given numbers are 512,567,600,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,567,600,901 is 6539097600.
Find LCM of 512,567,600,901 with Prime Factorization
| 2 | 512, 567, 600, 901 |
| 2 | 256, 567, 300, 901 |
| 2 | 128, 567, 150, 901 |
| 3 | 64, 567, 75, 901 |
| 64, 189, 25, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 64 x 189 x 25 x 901 = 6539097600
Therefore, the lowest common multiple of 512,567,600,901 is 6539097600.
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 567 x 600 x 901 = 156938342400
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,567,600,901, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
567:3x 3x 3x 3x 7
600:2x 2x 2x 3x 5x 5
901:17x 53
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 3 = 24
Therefore, the value for common factors is 24.
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 = 156938342400/(1x24)
LCM = 156938342400/24
LCM = 6539097600
Thus, we can understand that the LCM of 512,567,600,901 is 6539097600.
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FAQs on LCM of 512, 567, 600, 901
1. What is the LCM of 512, 567, 600, 901?
Answer: LCM of 512, 567, 600, 901 is 6539097600.
2. How to calculate the LCM of 512, 567, 600, 901?
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, 567, 600, 901.
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}.