Find the LCM of 382, 791, 611, 996, 947 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 382, 791, 611, 996, 947. So, keep reading to learn more.
Given numbers are 382,791,611,996,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,791,611,996,947 is 87068362837092.
Find LCM of 382,791,611,996,947 with Prime Factorization
2 | 382, 791, 611, 996, 947 |
191, 791, 611, 498, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 191 x 791 x 611 x 498 x 947 = 87068362837092
Therefore, the lowest common multiple of 382,791,611,996,947 is 87068362837092.
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.
382 x 791 x 611 x 996 x 947 = 174136725674184
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.
382 : 1, 2, 191, 382
791 : 1, 7, 113, 791
611 : 1, 13, 47, 611
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,791,611,996,947, is 1.
Now, the common factors can be found like this.
382:2x 191
791:7x 113
611:13x 47
996:2x 2x 3x 83
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 174136725674184/(1x2)
LCM = 174136725674184/2
LCM = 87068362837092
Thus, we can understand that the LCM of 382,791,611,996,947 is 87068362837092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 791, 611, 996, 947?
Answer: LCM of 382, 791, 611, 996, 947 is 87068362837092.
2. How to calculate the LCM of 382, 791, 611, 996, 947?
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 382, 791, 611, 996, 947.
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}.