Find the LCM of 867, 260, 274, 566, 695 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 867, 260, 274, 566, 695. So, keep reading to learn more.
Given numbers are 867,260,274,566,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,260,274,566,695 is 1214826475980.
Find LCM of 867,260,274,566,695 with Prime Factorization
2 | 867, 260, 274, 566, 695 |
5 | 867, 130, 137, 283, 695 |
867, 26, 137, 283, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 867 x 26 x 137 x 283 x 139 = 1214826475980
Therefore, the lowest common multiple of 867,260,274,566,695 is 1214826475980.
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.
867 x 260 x 274 x 566 x 695 = 24296529519600
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.
867 : 1, 3, 17, 51, 289, 867
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
274 : 1, 2, 137, 274
566 : 1, 2, 283, 566
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,260,274,566,695, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
260:2x 2x 5x 13
274:2x 137
566:2x 283
695:5x 139
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 5 = 20
Therefore, the value for common factors is 20.
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 = 24296529519600/(1x20)
LCM = 24296529519600/20
LCM = 1214826475980
Thus, we can understand that the LCM of 867,260,274,566,695 is 1214826475980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 260, 274, 566, 695?
Answer: LCM of 867, 260, 274, 566, 695 is 1214826475980.
2. How to calculate the LCM of 867, 260, 274, 566, 695?
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 867, 260, 274, 566, 695.
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}.