LCM of 187, 798, 247, 378, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 798, 247, 378, 297 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, 798, 247, 378, 297. So, keep reading to learn more.
Given numbers are 187,798,247,378,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,798,247,378,297 is 17459442.
Find LCM of 187,798,247,378,297 with Prime Factorization
| 2 | 187, 798, 247, 378, 297 |
| 3 | 187, 399, 247, 189, 297 |
| 3 | 187, 133, 247, 63, 99 |
| 3 | 187, 133, 247, 21, 33 |
| 7 | 187, 133, 247, 7, 11 |
| 11 | 187, 19, 247, 1, 11 |
| 19 | 17, 19, 247, 1, 1 |
| 17, 1, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 11 x 19 x 17 x 1 x 13 x 1 x 1 = 17459442
Therefore, the lowest common multiple of 187,798,247,378,297 is 17459442.
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 798 x 247 x 378 x 297 = 4137992510652
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
247 : 1, 13, 19, 247
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,798,247,378,297, is 1.
Now, the common factors can be found like this.
187:11x 17
798:2x 3x 7x 19
247:13x 19
378:2x 3x 3x 3x 7
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7x 11x 19 = 237006
Therefore, the value for common factors is 237006.
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 = 4137992510652/(1x237006)
LCM = 4137992510652/237006
LCM = 17459442
Thus, we can understand that the LCM of 187,798,247,378,297 is 17459442.
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FAQs on LCM of 187, 798, 247, 378, 297
1. What is the LCM of 187, 798, 247, 378, 297?
Answer: LCM of 187, 798, 247, 378, 297 is 17459442.
2. How to calculate the LCM of 187, 798, 247, 378, 297?
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, 798, 247, 378, 297.
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}.