LCM of 839, 252, 186, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 252, 186, 909 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 839, 252, 186, 909. So, keep reading to learn more.
Given numbers are 839,252,186,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,252,186,909 is 661981068.
Find LCM of 839,252,186,909 with Prime Factorization
| 2 | 839, 252, 186, 909 |
| 3 | 839, 126, 93, 909 |
| 3 | 839, 42, 31, 303 |
| 839, 14, 31, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 839 x 14 x 31 x 101 = 661981068
Therefore, the lowest common multiple of 839,252,186,909 is 661981068.
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.
839 x 252 x 186 x 909 = 35746977672
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.
839 : 1, 839
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
186 : 1, 2, 3, 6, 31, 62, 93, 186
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,252,186,909, is 1.
Now, the common factors can be found like this.
839:839
252:2x 2x 3x 3x 7
186:2x 3x 31
909:3x 3x 101
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 3 = 54
Therefore, the value for common factors is 54.
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 = 35746977672/(1x54)
LCM = 35746977672/54
LCM = 661981068
Thus, we can understand that the LCM of 839,252,186,909 is 661981068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 252, 186, 909
1. What is the LCM of 839, 252, 186, 909?
Answer: LCM of 839, 252, 186, 909 is 661981068.
2. How to calculate the LCM of 839, 252, 186, 909?
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 839, 252, 186, 909.
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}.