LCM of 193, 908, 144, 513, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 908, 144, 513, 310 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, 908, 144, 513, 310. So, keep reading to learn more.
Given numbers are 193,908,144,513,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,908,144,513,310 is 55738106640.
Find LCM of 193,908,144,513,310 with Prime Factorization
| 2 | 193, 908, 144, 513, 310 |
| 2 | 193, 454, 72, 513, 155 |
| 3 | 193, 227, 36, 513, 155 |
| 3 | 193, 227, 12, 171, 155 |
| 193, 227, 4, 57, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 193 x 227 x 4 x 57 x 155 = 55738106640
Therefore, the lowest common multiple of 193,908,144,513,310 is 55738106640.
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 908 x 144 x 513 x 310 = 4013143678080
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
908 : 1, 2, 4, 227, 454, 908
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
513 : 1, 3, 9, 19, 27, 57, 171, 513
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,908,144,513,310, is 1.
Now, the common factors can be found like this.
193:193
908:2x 2x 227
144:2x 2x 2x 2x 3x 3
513:3x 3x 3x 19
310:2x 5x 31
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 4013143678080/(1x72)
LCM = 4013143678080/72
LCM = 55738106640
Thus, we can understand that the LCM of 193,908,144,513,310 is 55738106640.
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FAQs on LCM of 193, 908, 144, 513, 310
1. What is the LCM of 193, 908, 144, 513, 310?
Answer: LCM of 193, 908, 144, 513, 310 is 55738106640.
2. How to calculate the LCM of 193, 908, 144, 513, 310?
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, 908, 144, 513, 310.
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}.