LCM of 954, 255, 187, 848, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 255, 187, 848, 111 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 954, 255, 187, 848, 111. So, keep reading to learn more.
Given numbers are 954,255,187,848,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,255,187,848,111 is 264029040.
Find LCM of 954,255,187,848,111 with Prime Factorization
| 2 | 954, 255, 187, 848, 111 |
| 3 | 477, 255, 187, 424, 111 |
| 17 | 159, 85, 187, 424, 37 |
| 53 | 159, 5, 11, 424, 37 |
| 3, 5, 11, 8, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 53 x 3 x 5 x 11 x 8 x 37 = 264029040
Therefore, the lowest common multiple of 954,255,187,848,111 is 264029040.
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.
954 x 255 x 187 x 848 x 111 = 4282022970720
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
255 : 1, 3, 5, 15, 17, 51, 85, 255
187 : 1, 11, 17, 187
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,255,187,848,111, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
255:3x 5x 17
187:11x 17
848:2x 2x 2x 2x 53
111:3x 37
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 17x 53 = 16218
Therefore, the value for common factors is 16218.
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 = 4282022970720/(1x16218)
LCM = 4282022970720/16218
LCM = 264029040
Thus, we can understand that the LCM of 954,255,187,848,111 is 264029040.
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FAQs on LCM of 954, 255, 187, 848, 111
1. What is the LCM of 954, 255, 187, 848, 111?
Answer: LCM of 954, 255, 187, 848, 111 is 264029040.
2. How to calculate the LCM of 954, 255, 187, 848, 111?
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 954, 255, 187, 848, 111.
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}.