Find the LCM of 965, 193, 160, 685, 492 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 965, 193, 160, 685, 492. So, keep reading to learn more.
Given numbers are 965,193,160,685,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,193,160,685,492 is 520358880.
Find LCM of 965,193,160,685,492 with Prime Factorization
2 | 965, 193, 160, 685, 492 |
2 | 965, 193, 80, 685, 246 |
5 | 965, 193, 40, 685, 123 |
193 | 193, 193, 8, 137, 123 |
1, 1, 8, 137, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 193 x 1 x 1 x 8 x 137 x 123 = 520358880
Therefore, the lowest common multiple of 965,193,160,685,492 is 520358880.
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.
965 x 193 x 160 x 685 x 492 = 10042926384000
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.
965 : 1, 5, 193, 965
193 : 1, 193
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
685 : 1, 5, 137, 685
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,193,160,685,492, is 1.
Now, the common factors can be found like this.
965:5x 193
193:193
160:2x 2x 2x 2x 2x 5
685:5x 137
492:2x 2x 3x 41
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 5x 5x 193 = 19300
Therefore, the value for common factors is 19300.
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 = 10042926384000/(1x19300)
LCM = 10042926384000/19300
LCM = 520358880
Thus, we can understand that the LCM of 965,193,160,685,492 is 520358880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 193, 160, 685, 492?
Answer: LCM of 965, 193, 160, 685, 492 is 520358880.
2. How to calculate the LCM of 965, 193, 160, 685, 492?
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 965, 193, 160, 685, 492.
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}.