Find the LCM of 195, 294, 560, 961, 823 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 195, 294, 560, 961, 823. So, keep reading to learn more.
Given numbers are 195,294,560,961,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,294,560,961,823 is 120913250640.
Find LCM of 195,294,560,961,823 with Prime Factorization
2 | 195, 294, 560, 961, 823 |
3 | 195, 147, 280, 961, 823 |
5 | 65, 49, 280, 961, 823 |
7 | 13, 49, 56, 961, 823 |
13, 7, 8, 961, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 7 x 8 x 961 x 823 = 120913250640
Therefore, the lowest common multiple of 195,294,560,961,823 is 120913250640.
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.
195 x 294 x 560 x 961 x 823 = 25391782634400
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
961 : 1, 31, 961
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,294,560,961,823, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
294:2x 3x 7x 7
560:2x 2x 2x 2x 5x 7
961:31x 31
823:823
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 25391782634400/(1x210)
LCM = 25391782634400/210
LCM = 120913250640
Thus, we can understand that the LCM of 195,294,560,961,823 is 120913250640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 294, 560, 961, 823?
Answer: LCM of 195, 294, 560, 961, 823 is 120913250640.
2. How to calculate the LCM of 195, 294, 560, 961, 823?
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 195, 294, 560, 961, 823.
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}.