Find the LCM of 987, 472, 611, 163, 163 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 987, 472, 611, 163, 163. So, keep reading to learn more.
Given numbers are 987,472,611,163,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,472,611,163,163 is 987165816.
Find LCM of 987,472,611,163,163 with Prime Factorization
47 | 987, 472, 611, 163, 163 |
163 | 21, 472, 13, 163, 163 |
21, 472, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
47 x 163 x 21 x 472 x 13 x 1 x 1 = 987165816
Therefore, the lowest common multiple of 987,472,611,163,163 is 987165816.
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.
987 x 472 x 611 x 163 x 163 = 7562677316376
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
472 : 1, 2, 4, 8, 59, 118, 236, 472
611 : 1, 13, 47, 611
163 : 1, 163
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,472,611,163,163, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
472:2x 2x 2x 59
611:13x 47
163:163
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
47x 163 = 7661
Therefore, the value for common factors is 7661.
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 = 7562677316376/(1x7661)
LCM = 7562677316376/7661
LCM = 987165816
Thus, we can understand that the LCM of 987,472,611,163,163 is 987165816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 472, 611, 163, 163?
Answer: LCM of 987, 472, 611, 163, 163 is 987165816.
2. How to calculate the LCM of 987, 472, 611, 163, 163?
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 987, 472, 611, 163, 163.
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}.