Find the LCM of 381, 871, 121, 988 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, 871, 121, 988. So, keep reading to learn more.
Given numbers are 381,871,121,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,871,121,988 is 3051701796.
Find LCM of 381,871,121,988 with Prime Factorization
13 | 381, 871, 121, 988 |
381, 67, 121, 76 |
Multiply the prime numbers at the bottom and the left side.
13 x 381 x 67 x 121 x 76 = 3051701796
Therefore, the lowest common multiple of 381,871,121,988 is 3051701796.
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 871 x 121 x 988 = 39672123348
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
871 : 1, 13, 67, 871
121 : 1, 11, 121
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,871,121,988, is 1.
Now, the common factors can be found like this.
381:3x 127
871:13x 67
121:11x 11
988:2x 2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 39672123348/(1x13)
LCM = 39672123348/13
LCM = 3051701796
Thus, we can understand that the LCM of 381,871,121,988 is 3051701796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 871, 121, 988?
Answer: LCM of 381, 871, 121, 988 is 3051701796.
2. How to calculate the LCM of 381, 871, 121, 988?
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, 871, 121, 988.
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}.