LCM of 175, 687, 293, 296, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 175, 687, 293, 296, 392 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 175, 687, 293, 296, 392. So, keep reading to learn more.
Given numbers are 175,687,293,296,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 175,687,293,296,392 is 72988116600.
Find LCM of 175,687,293,296,392 with Prime Factorization
| 2 | 175, 687, 293, 296, 392 |
| 2 | 175, 687, 293, 148, 196 |
| 2 | 175, 687, 293, 74, 98 |
| 7 | 175, 687, 293, 37, 49 |
| 25, 687, 293, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 25 x 687 x 293 x 37 x 7 = 72988116600
Therefore, the lowest common multiple of 175,687,293,296,392 is 72988116600.
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.
175 x 687 x 293 x 296 x 392 = 4087334529600
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.
175 : 1, 5, 7, 25, 35, 175
687 : 1, 3, 229, 687
293 : 1, 293
296 : 1, 2, 4, 8, 37, 74, 148, 296
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,687,293,296,392, is 1.
Now, the common factors can be found like this.
175:5x 5x 7
687:3x 229
293:293
296:2x 2x 2x 37
392:2x 2x 2x 7x 7
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 7 = 56
Therefore, the value for common factors is 56.
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 = 4087334529600/(1x56)
LCM = 4087334529600/56
LCM = 72988116600
Thus, we can understand that the LCM of 175,687,293,296,392 is 72988116600.
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FAQs on LCM of 175, 687, 293, 296, 392
1. What is the LCM of 175, 687, 293, 296, 392?
Answer: LCM of 175, 687, 293, 296, 392 is 72988116600.
2. How to calculate the LCM of 175, 687, 293, 296, 392?
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 175, 687, 293, 296, 392.
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}.