LCM of 187, 529, 293, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 529, 293, 935 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 187, 529, 293, 935. So, keep reading to learn more.
Given numbers are 187,529,293,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,529,293,935 is 144922195.
Find LCM of 187,529,293,935 with Prime Factorization
| 11 | 187, 529, 293, 935 |
| 17 | 17, 529, 293, 85 |
| 1, 529, 293, 5 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 1 x 529 x 293 x 5 = 144922195
Therefore, the lowest common multiple of 187,529,293,935 is 144922195.
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.
187 x 529 x 293 x 935 = 27100450465
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.
187 : 1, 11, 17, 187
529 : 1, 23, 529
293 : 1, 293
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,529,293,935, is 1.
Now, the common factors can be found like this.
187:11x 17
529:23x 23
293:293
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 27100450465/(1x187)
LCM = 27100450465/187
LCM = 144922195
Thus, we can understand that the LCM of 187,529,293,935 is 144922195.
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FAQs on LCM of 187, 529, 293, 935
1. What is the LCM of 187, 529, 293, 935?
Answer: LCM of 187, 529, 293, 935 is 144922195.
2. How to calculate the LCM of 187, 529, 293, 935?
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 187, 529, 293, 935.
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}.