Find the LCM of 382, 988, 776, 994, 941 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 382, 988, 776, 994, 941. So, keep reading to learn more.
Given numbers are 382,988,776,994,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,988,776,994,941 is 17121351915304.
Find LCM of 382,988,776,994,941 with Prime Factorization
2 | 382, 988, 776, 994, 941 |
2 | 191, 494, 388, 497, 941 |
191, 247, 194, 497, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 247 x 194 x 497 x 941 = 17121351915304
Therefore, the lowest common multiple of 382,988,776,994,941 is 17121351915304.
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.
382 x 988 x 776 x 994 x 941 = 273941630644864
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.
382 : 1, 2, 191, 382
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
776 : 1, 2, 4, 8, 97, 194, 388, 776
994 : 1, 2, 7, 14, 71, 142, 497, 994
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,988,776,994,941, is 1.
Now, the common factors can be found like this.
382:2x 191
988:2x 2x 13x 19
776:2x 2x 2x 97
994:2x 7x 71
941:941
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 273941630644864/(1x16)
LCM = 273941630644864/16
LCM = 17121351915304
Thus, we can understand that the LCM of 382,988,776,994,941 is 17121351915304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 988, 776, 994, 941?
Answer: LCM of 382, 988, 776, 994, 941 is 17121351915304.
2. How to calculate the LCM of 382, 988, 776, 994, 941?
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 382, 988, 776, 994, 941.
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}.