LCM of 381, 417, 556, 893, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 417, 556, 893, 954 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 381, 417, 556, 893, 954. So, keep reading to learn more.
Given numbers are 381,417,556,893,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,417,556,893,954 is 30077958132.
Find LCM of 381,417,556,893,954 with Prime Factorization
| 2 | 381, 417, 556, 893, 954 |
| 3 | 381, 417, 278, 893, 477 |
| 139 | 127, 139, 278, 893, 159 |
| 127, 1, 2, 893, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 127 x 1 x 2 x 893 x 159 = 30077958132
Therefore, the lowest common multiple of 381,417,556,893,954 is 30077958132.
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.
381 x 417 x 556 x 893 x 954 = 75255051246264
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.
381 : 1, 3, 127, 381
417 : 1, 3, 139, 417
556 : 1, 2, 4, 139, 278, 556
893 : 1, 19, 47, 893
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,417,556,893,954, is 1.
Now, the common factors can be found like this.
381:3x 127
417:3x 139
556:2x 2x 139
893:19x 47
954:2x 3x 3x 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 3x 3x 139 = 2502
Therefore, the value for common factors is 2502.
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 = 75255051246264/(1x2502)
LCM = 75255051246264/2502
LCM = 30077958132
Thus, we can understand that the LCM of 381,417,556,893,954 is 30077958132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 417, 556, 893, 954
1. What is the LCM of 381, 417, 556, 893, 954?
Answer: LCM of 381, 417, 556, 893, 954 is 30077958132.
2. How to calculate the LCM of 381, 417, 556, 893, 954?
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 381, 417, 556, 893, 954.
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}.