Find the LCM of 917, 743, 917, 114, 996 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 917, 743, 917, 114, 996. So, keep reading to learn more.
Given numbers are 917,743,917,114,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,743,917,114,996 is 12893507844.
Find LCM of 917,743,917,114,996 with Prime Factorization
2 | 917, 743, 917, 114, 996 |
3 | 917, 743, 917, 57, 498 |
7 | 917, 743, 917, 19, 166 |
131 | 131, 743, 131, 19, 166 |
1, 743, 1, 19, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 131 x 1 x 743 x 1 x 19 x 166 = 12893507844
Therefore, the lowest common multiple of 917,743,917,114,996 is 12893507844.
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.
917 x 743 x 917 x 114 x 996 = 70940080157688
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.
917 : 1, 7, 131, 917
743 : 1, 743
917 : 1, 7, 131, 917
114 : 1, 2, 3, 6, 19, 38, 57, 114
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,743,917,114,996, is 1.
Now, the common factors can be found like this.
917:7x 131
743:743
917:7x 131
114:2x 3x 19
996:2x 2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 131 = 5502
Therefore, the value for common factors is 5502.
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 = 70940080157688/(1x5502)
LCM = 70940080157688/5502
LCM = 12893507844
Thus, we can understand that the LCM of 917,743,917,114,996 is 12893507844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 743, 917, 114, 996?
Answer: LCM of 917, 743, 917, 114, 996 is 12893507844.
2. How to calculate the LCM of 917, 743, 917, 114, 996?
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 917, 743, 917, 114, 996.
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}.