Find the LCM of 988, 981, 629, 506, 636 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 988, 981, 629, 506, 636. So, keep reading to learn more.
Given numbers are 988,981,629,506,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,981,629,506,636 is 8174721920508.
Find LCM of 988,981,629,506,636 with Prime Factorization
2 | 988, 981, 629, 506, 636 |
2 | 494, 981, 629, 253, 318 |
3 | 247, 981, 629, 253, 159 |
247, 327, 629, 253, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 247 x 327 x 629 x 253 x 53 = 8174721920508
Therefore, the lowest common multiple of 988,981,629,506,636 is 8174721920508.
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.
988 x 981 x 629 x 506 x 636 = 196193326092192
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
981 : 1, 3, 9, 109, 327, 981
629 : 1, 17, 37, 629
506 : 1, 2, 11, 22, 23, 46, 253, 506
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,981,629,506,636, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
981:3x 3x 109
629:17x 37
506:2x 11x 23
636:2x 2x 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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 196193326092192/(1x24)
LCM = 196193326092192/24
LCM = 8174721920508
Thus, we can understand that the LCM of 988,981,629,506,636 is 8174721920508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 981, 629, 506, 636?
Answer: LCM of 988, 981, 629, 506, 636 is 8174721920508.
2. How to calculate the LCM of 988, 981, 629, 506, 636?
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 988, 981, 629, 506, 636.
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}.