LCM of 187, 394, 867, 759, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 394, 867, 759, 299 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, 394, 867, 759, 299. So, keep reading to learn more.
Given numbers are 187,394,867,759,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,394,867,759,299 is 1123515822.
Find LCM of 187,394,867,759,299 with Prime Factorization
| 3 | 187, 394, 867, 759, 299 |
| 11 | 187, 394, 289, 253, 299 |
| 17 | 17, 394, 289, 23, 299 |
| 23 | 1, 394, 17, 23, 299 |
| 1, 394, 17, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 23 x 1 x 394 x 17 x 1 x 13 = 1123515822
Therefore, the lowest common multiple of 187,394,867,759,299 is 1123515822.
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 394 x 867 x 759 x 299 = 14496724651266
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
394 : 1, 2, 197, 394
867 : 1, 3, 17, 51, 289, 867
759 : 1, 3, 11, 23, 33, 69, 253, 759
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,394,867,759,299, is 1.
Now, the common factors can be found like this.
187:11x 17
394:2x 197
867:3x 17x 17
759:3x 11x 23
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17x 23 = 12903
Therefore, the value for common factors is 12903.
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 = 14496724651266/(1x12903)
LCM = 14496724651266/12903
LCM = 1123515822
Thus, we can understand that the LCM of 187,394,867,759,299 is 1123515822.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 394, 867, 759, 299
1. What is the LCM of 187, 394, 867, 759, 299?
Answer: LCM of 187, 394, 867, 759, 299 is 1123515822.
2. How to calculate the LCM of 187, 394, 867, 759, 299?
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, 394, 867, 759, 299.
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}.