Find the LCM of 193, 209, 693, 293, 386 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 193, 209, 693, 293, 386. So, keep reading to learn more.
Given numbers are 193,209,693,293,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,209,693,293,386 is 1489161366.
Find LCM of 193,209,693,293,386 with Prime Factorization
11 | 193, 209, 693, 293, 386 |
193 | 193, 19, 63, 293, 386 |
1, 19, 63, 293, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 193 x 1 x 19 x 63 x 293 x 2 = 1489161366
Therefore, the lowest common multiple of 193,209,693,293,386 is 1489161366.
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.
193 x 209 x 693 x 293 x 386 = 3161489580018
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.
193 : 1, 193
209 : 1, 11, 19, 209
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
293 : 1, 293
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,209,693,293,386, is 1.
Now, the common factors can be found like this.
193:193
209:11x 19
693:3x 3x 7x 11
293:293
386:2x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 193 = 2123
Therefore, the value for common factors is 2123.
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 = 3161489580018/(1x2123)
LCM = 3161489580018/2123
LCM = 1489161366
Thus, we can understand that the LCM of 193,209,693,293,386 is 1489161366.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 193, 209, 693, 293, 386?
Answer: LCM of 193, 209, 693, 293, 386 is 1489161366.
2. How to calculate the LCM of 193, 209, 693, 293, 386?
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 193, 209, 693, 293, 386.
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}.