LCM of 187, 789, 897, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 789, 897, 229 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, 789, 897, 229. So, keep reading to learn more.
Given numbers are 187,789,897,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,789,897,229 is 10102416753.
Find LCM of 187,789,897,229 with Prime Factorization
| 3 | 187, 789, 897, 229 |
| 187, 263, 299, 229 |
Multiply the prime numbers at the bottom and the left side.
3 x 187 x 263 x 299 x 229 = 10102416753
Therefore, the lowest common multiple of 187,789,897,229 is 10102416753.
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 789 x 897 x 229 = 30307250259
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
789 : 1, 3, 263, 789
897 : 1, 3, 13, 23, 39, 69, 299, 897
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,789,897,229, is 1.
Now, the common factors can be found like this.
187:11x 17
789:3x 263
897:3x 13x 23
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 30307250259/(1x3)
LCM = 30307250259/3
LCM = 10102416753
Thus, we can understand that the LCM of 187,789,897,229 is 10102416753.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 789, 897, 229
1. What is the LCM of 187, 789, 897, 229?
Answer: LCM of 187, 789, 897, 229 is 10102416753.
2. How to calculate the LCM of 187, 789, 897, 229?
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, 789, 897, 229.
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}.