LCM of 187, 319, 378, 519, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 319, 378, 519, 834 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, 319, 378, 519, 834. So, keep reading to learn more.
Given numbers are 187,319,378,519,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,319,378,519,834 is 49293801018.
Find LCM of 187,319,378,519,834 with Prime Factorization
| 2 | 187, 319, 378, 519, 834 |
| 3 | 187, 319, 189, 519, 417 |
| 11 | 187, 319, 63, 173, 139 |
| 17, 29, 63, 173, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 29 x 63 x 173 x 139 = 49293801018
Therefore, the lowest common multiple of 187,319,378,519,834 is 49293801018.
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 319 x 378 x 519 x 834 = 9760172601564
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
319 : 1, 11, 29, 319
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
519 : 1, 3, 173, 519
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,319,378,519,834, is 1.
Now, the common factors can be found like this.
187:11x 17
319:11x 29
378:2x 3x 3x 3x 7
519:3x 173
834:2x 3x 139
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 11 = 198
Therefore, the value for common factors is 198.
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 = 9760172601564/(1x198)
LCM = 9760172601564/198
LCM = 49293801018
Thus, we can understand that the LCM of 187,319,378,519,834 is 49293801018.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 319, 378, 519, 834
1. What is the LCM of 187, 319, 378, 519, 834?
Answer: LCM of 187, 319, 378, 519, 834 is 49293801018.
2. How to calculate the LCM of 187, 319, 378, 519, 834?
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, 319, 378, 519, 834.
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}.