Find the LCM of 627, 988, 367, 791, 961 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 627, 988, 367, 791, 961. So, keep reading to learn more.
Given numbers are 627,988,367,791,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,988,367,791,961 is 9095714495868.
Find LCM of 627,988,367,791,961 with Prime Factorization
19 | 627, 988, 367, 791, 961 |
33, 52, 367, 791, 961 |
Multiply the prime numbers at the bottom and the left side.
19 x 33 x 52 x 367 x 791 x 961 = 9095714495868
Therefore, the lowest common multiple of 627,988,367,791,961 is 9095714495868.
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.
627 x 988 x 367 x 791 x 961 = 172818575421492
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
367 : 1, 367
791 : 1, 7, 113, 791
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,988,367,791,961, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
988:2x 2x 13x 19
367:367
791:7x 113
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 172818575421492/(1x19)
LCM = 172818575421492/19
LCM = 9095714495868
Thus, we can understand that the LCM of 627,988,367,791,961 is 9095714495868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 988, 367, 791, 961?
Answer: LCM of 627, 988, 367, 791, 961 is 9095714495868.
2. How to calculate the LCM of 627, 988, 367, 791, 961?
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 627, 988, 367, 791, 961.
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}.