Find the LCM of 168, 678, 673, 866, 565 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 168, 678, 673, 866, 565. So, keep reading to learn more.
Given numbers are 168,678,673,866,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,678,673,866,565 is 27660542280.
Find LCM of 168,678,673,866,565 with Prime Factorization
2 | 168, 678, 673, 866, 565 |
3 | 84, 339, 673, 433, 565 |
113 | 28, 113, 673, 433, 565 |
28, 1, 673, 433, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 28 x 1 x 673 x 433 x 5 = 27660542280
Therefore, the lowest common multiple of 168,678,673,866,565 is 27660542280.
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.
168 x 678 x 673 x 866 x 565 = 37507695331680
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
678 : 1, 2, 3, 6, 113, 226, 339, 678
673 : 1, 673
866 : 1, 2, 433, 866
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,678,673,866,565, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
678:2x 3x 113
673:673
866:2x 433
565:5x 113
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 3x 113 = 1356
Therefore, the value for common factors is 1356.
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 = 37507695331680/(1x1356)
LCM = 37507695331680/1356
LCM = 27660542280
Thus, we can understand that the LCM of 168,678,673,866,565 is 27660542280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 678, 673, 866, 565?
Answer: LCM of 168, 678, 673, 866, 565 is 27660542280.
2. How to calculate the LCM of 168, 678, 673, 866, 565?
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 168, 678, 673, 866, 565.
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}.