Find the LCM of 947, 236, 846, 177, 982 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 947, 236, 846, 177, 982. So, keep reading to learn more.
Given numbers are 947,236,846,177,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,236,846,177,982 is 46417723956.
Find LCM of 947,236,846,177,982 with Prime Factorization
2 | 947, 236, 846, 177, 982 |
3 | 947, 118, 423, 177, 491 |
59 | 947, 118, 141, 59, 491 |
947, 2, 141, 1, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 947 x 2 x 141 x 1 x 491 = 46417723956
Therefore, the lowest common multiple of 947,236,846,177,982 is 46417723956.
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.
947 x 236 x 846 x 177 x 982 = 32863748560848
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.
947 : 1, 947
236 : 1, 2, 4, 59, 118, 236
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
177 : 1, 3, 59, 177
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,236,846,177,982, is 1.
Now, the common factors can be found like this.
947:947
236:2x 2x 59
846:2x 3x 3x 47
177:3x 59
982:2x 491
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 3x 59 = 708
Therefore, the value for common factors is 708.
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 = 32863748560848/(1x708)
LCM = 32863748560848/708
LCM = 46417723956
Thus, we can understand that the LCM of 947,236,846,177,982 is 46417723956.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 236, 846, 177, 982?
Answer: LCM of 947, 236, 846, 177, 982 is 46417723956.
2. How to calculate the LCM of 947, 236, 846, 177, 982?
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 947, 236, 846, 177, 982.
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}.