LCM of 954, 451, 748, 711, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 451, 748, 711, 923 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, 451, 748, 711, 923. So, keep reading to learn more.
Given numbers are 954,451,748,711,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,451,748,711,923 is 1066676251212.
Find LCM of 954,451,748,711,923 with Prime Factorization
| 2 | 954, 451, 748, 711, 923 |
| 3 | 477, 451, 374, 711, 923 |
| 3 | 159, 451, 374, 237, 923 |
| 11 | 53, 451, 374, 79, 923 |
| 53, 41, 34, 79, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 53 x 41 x 34 x 79 x 923 = 1066676251212
Therefore, the lowest common multiple of 954,451,748,711,923 is 1066676251212.
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 451 x 748 x 711 x 923 = 211201897739976
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
451 : 1, 11, 41, 451
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
711 : 1, 3, 9, 79, 237, 711
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,451,748,711,923, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
451:11x 41
748:2x 2x 11x 17
711:3x 3x 79
923:13x 71
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 11 = 198
Therefore, the value for common factors is 198.
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 = 211201897739976/(1x198)
LCM = 211201897739976/198
LCM = 1066676251212
Thus, we can understand that the LCM of 954,451,748,711,923 is 1066676251212.
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FAQs on LCM of 954, 451, 748, 711, 923
1. What is the LCM of 954, 451, 748, 711, 923?
Answer: LCM of 954, 451, 748, 711, 923 is 1066676251212.
2. How to calculate the LCM of 954, 451, 748, 711, 923?
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, 451, 748, 711, 923.
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}.