Find the LCM of 262, 283, 283, 991, 171 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 262, 283, 283, 991, 171. So, keep reading to learn more.
Given numbers are 262,283,283,991,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,283,283,991,171 is 12564855306.
Find LCM of 262,283,283,991,171 with Prime Factorization
283 | 262, 283, 283, 991, 171 |
262, 1, 1, 991, 171 |
Multiply the prime numbers at the bottom and the left side.
283 x 262 x 1 x 1 x 991 x 171 = 12564855306
Therefore, the lowest common multiple of 262,283,283,991,171 is 12564855306.
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.
262 x 283 x 283 x 991 x 171 = 3555854051598
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.
262 : 1, 2, 131, 262
283 : 1, 283
283 : 1, 283
991 : 1, 991
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,283,283,991,171, is 1.
Now, the common factors can be found like this.
262:2x 131
283:283
283:283
991:991
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
283 = 283
Therefore, the value for common factors is 283.
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 = 3555854051598/(1x283)
LCM = 3555854051598/283
LCM = 12564855306
Thus, we can understand that the LCM of 262,283,283,991,171 is 12564855306.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 262, 283, 283, 991, 171?
Answer: LCM of 262, 283, 283, 991, 171 is 12564855306.
2. How to calculate the LCM of 262, 283, 283, 991, 171?
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 262, 283, 283, 991, 171.
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}.