LCM of 952, 909, 912, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 909, 912, 255 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 952, 909, 912, 255. So, keep reading to learn more.
Given numbers are 952,909,912,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,909,912,255 is 164419920.
Find LCM of 952,909,912,255 with Prime Factorization
| 2 | 952, 909, 912, 255 |
| 2 | 476, 909, 456, 255 |
| 2 | 238, 909, 228, 255 |
| 3 | 119, 909, 114, 255 |
| 17 | 119, 303, 38, 85 |
| 7, 303, 38, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 7 x 303 x 38 x 5 = 164419920
Therefore, the lowest common multiple of 952,909,912,255 is 164419920.
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.
952 x 909 x 912 x 255 = 201249982080
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
909 : 1, 3, 9, 101, 303, 909
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,909,912,255, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
909:3x 3x 101
912:2x 2x 2x 2x 3x 19
255:3x 5x 17
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 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 201249982080/(1x1224)
LCM = 201249982080/1224
LCM = 164419920
Thus, we can understand that the LCM of 952,909,912,255 is 164419920.
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FAQs on LCM of 952, 909, 912, 255
1. What is the LCM of 952, 909, 912, 255?
Answer: LCM of 952, 909, 912, 255 is 164419920.
2. How to calculate the LCM of 952, 909, 912, 255?
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 952, 909, 912, 255.
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}.