Find the LCM of 991, 114, 153, 221, 596 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 991, 114, 153, 221, 596. So, keep reading to learn more.
Given numbers are 991,114,153,221,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,114,153,221,596 is 22320725076.
Find LCM of 991,114,153,221,596 with Prime Factorization
2 | 991, 114, 153, 221, 596 |
3 | 991, 57, 153, 221, 298 |
17 | 991, 19, 51, 221, 298 |
991, 19, 3, 13, 298 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 991 x 19 x 3 x 13 x 298 = 22320725076
Therefore, the lowest common multiple of 991,114,153,221,596 is 22320725076.
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.
991 x 114 x 153 x 221 x 596 = 2276713957752
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.
991 : 1, 991
114 : 1, 2, 3, 6, 19, 38, 57, 114
153 : 1, 3, 9, 17, 51, 153
221 : 1, 13, 17, 221
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,114,153,221,596, is 1.
Now, the common factors can be found like this.
991:991
114:2x 3x 19
153:3x 3x 17
221:13x 17
596:2x 2x 149
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 17 = 102
Therefore, the value for common factors is 102.
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 = 2276713957752/(1x102)
LCM = 2276713957752/102
LCM = 22320725076
Thus, we can understand that the LCM of 991,114,153,221,596 is 22320725076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 114, 153, 221, 596?
Answer: LCM of 991, 114, 153, 221, 596 is 22320725076.
2. How to calculate the LCM of 991, 114, 153, 221, 596?
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 991, 114, 153, 221, 596.
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}.