Find the LCM of 824, 195, 838, 312, 170 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 824, 195, 838, 312, 170. So, keep reading to learn more.
Given numbers are 824,195,838,312,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,195,838,312,170 is 1144523640.
Find LCM of 824,195,838,312,170 with Prime Factorization
2 | 824, 195, 838, 312, 170 |
2 | 412, 195, 419, 156, 85 |
2 | 206, 195, 419, 78, 85 |
3 | 103, 195, 419, 39, 85 |
5 | 103, 65, 419, 13, 85 |
13 | 103, 13, 419, 13, 17 |
103, 1, 419, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 103 x 1 x 419 x 1 x 17 = 1144523640
Therefore, the lowest common multiple of 824,195,838,312,170 is 1144523640.
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.
824 x 195 x 838 x 312 x 170 = 7141827513600
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
195 : 1, 3, 5, 13, 15, 39, 65, 195
838 : 1, 2, 419, 838
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,195,838,312,170, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
195:3x 5x 13
838:2x 419
312:2x 2x 2x 3x 13
170:2x 5x 17
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 2x 2x 2x 3x 5x 13 = 6240
Therefore, the value for common factors is 6240.
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 = 7141827513600/(1x6240)
LCM = 7141827513600/6240
LCM = 1144523640
Thus, we can understand that the LCM of 824,195,838,312,170 is 1144523640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 195, 838, 312, 170?
Answer: LCM of 824, 195, 838, 312, 170 is 1144523640.
2. How to calculate the LCM of 824, 195, 838, 312, 170?
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 824, 195, 838, 312, 170.
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}.