LCM of 471, 121, 891, 954, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 121, 891, 954, 946 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 471, 121, 891, 954, 946. So, keep reading to learn more.
Given numbers are 471,121,891,954,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,121,891,954,946 is 7013654406.
Find LCM of 471,121,891,954,946 with Prime Factorization
| 2 | 471, 121, 891, 954, 946 |
| 3 | 471, 121, 891, 477, 473 |
| 3 | 157, 121, 297, 159, 473 |
| 11 | 157, 121, 99, 53, 473 |
| 157, 11, 9, 53, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 157 x 11 x 9 x 53 x 43 = 7013654406
Therefore, the lowest common multiple of 471,121,891,954,946 is 7013654406.
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.
471 x 121 x 891 x 954 x 946 = 45827217888804
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.
471 : 1, 3, 157, 471
121 : 1, 11, 121
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,121,891,954,946, is 1.
Now, the common factors can be found like this.
471:3x 157
121:11x 11
891:3x 3x 3x 3x 11
954:2x 3x 3x 53
946:2x 11x 43
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 3x 11x 11 = 6534
Therefore, the value for common factors is 6534.
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 = 45827217888804/(1x6534)
LCM = 45827217888804/6534
LCM = 7013654406
Thus, we can understand that the LCM of 471,121,891,954,946 is 7013654406.
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FAQs on LCM of 471, 121, 891, 954, 946
1. What is the LCM of 471, 121, 891, 954, 946?
Answer: LCM of 471, 121, 891, 954, 946 is 7013654406.
2. How to calculate the LCM of 471, 121, 891, 954, 946?
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 471, 121, 891, 954, 946.
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}.