Find the LCM of 381, 187, 358, 956, 642 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, 187, 358, 956, 642. So, keep reading to learn more.
Given numbers are 381,187,358,956,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,187,358,956,642 is 1304551664196.
Find LCM of 381,187,358,956,642 with Prime Factorization
2 | 381, 187, 358, 956, 642 |
3 | 381, 187, 179, 478, 321 |
127, 187, 179, 478, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 187 x 179 x 478 x 107 = 1304551664196
Therefore, the lowest common multiple of 381,187,358,956,642 is 1304551664196.
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 187 x 358 x 956 x 642 = 15654619970352
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
187 : 1, 11, 17, 187
358 : 1, 2, 179, 358
956 : 1, 2, 4, 239, 478, 956
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,187,358,956,642, is 1.
Now, the common factors can be found like this.
381:3x 127
187:11x 17
358:2x 179
956:2x 2x 239
642:2x 3x 107
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 3 = 12
Therefore, the value for common factors is 12.
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 = 15654619970352/(1x12)
LCM = 15654619970352/12
LCM = 1304551664196
Thus, we can understand that the LCM of 381,187,358,956,642 is 1304551664196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 187, 358, 956, 642?
Answer: LCM of 381, 187, 358, 956, 642 is 1304551664196.
2. How to calculate the LCM of 381, 187, 358, 956, 642?
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, 187, 358, 956, 642.
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}.