LCM of 193, 510, 788, 949, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 510, 788, 949, 247 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, 510, 788, 949, 247. So, keep reading to learn more.
Given numbers are 193,510,788,949,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,510,788,949,247 is 699267784020.
Find LCM of 193,510,788,949,247 with Prime Factorization
| 2 | 193, 510, 788, 949, 247 |
| 13 | 193, 255, 394, 949, 247 |
| 193, 255, 394, 73, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 193 x 255 x 394 x 73 x 19 = 699267784020
Therefore, the lowest common multiple of 193,510,788,949,247 is 699267784020.
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 510 x 788 x 949 x 247 = 18180962384520
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
788 : 1, 2, 4, 197, 394, 788
949 : 1, 13, 73, 949
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,510,788,949,247, is 1.
Now, the common factors can be found like this.
193:193
510:2x 3x 5x 17
788:2x 2x 197
949:13x 73
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 18180962384520/(1x26)
LCM = 18180962384520/26
LCM = 699267784020
Thus, we can understand that the LCM of 193,510,788,949,247 is 699267784020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 510, 788, 949, 247
1. What is the LCM of 193, 510, 788, 949, 247?
Answer: LCM of 193, 510, 788, 949, 247 is 699267784020.
2. How to calculate the LCM of 193, 510, 788, 949, 247?
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, 510, 788, 949, 247.
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}.