LCM of 839, 651, 715, 372, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 651, 715, 372, 933 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, 651, 715, 372, 933. So, keep reading to learn more.
Given numbers are 839,651,715,372,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,651,715,372,933 is 485813267940.
Find LCM of 839,651,715,372,933 with Prime Factorization
| 3 | 839, 651, 715, 372, 933 |
| 31 | 839, 217, 715, 124, 311 |
| 839, 7, 715, 4, 311 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 839 x 7 x 715 x 4 x 311 = 485813267940
Therefore, the lowest common multiple of 839,651,715,372,933 is 485813267940.
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 651 x 715 x 372 x 933 = 135541901755260
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
651 : 1, 3, 7, 21, 31, 93, 217, 651
715 : 1, 5, 11, 13, 55, 65, 143, 715
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,651,715,372,933, is 1.
Now, the common factors can be found like this.
839:839
651:3x 7x 31
715:5x 11x 13
372:2x 2x 3x 31
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 135541901755260/(1x279)
LCM = 135541901755260/279
LCM = 485813267940
Thus, we can understand that the LCM of 839,651,715,372,933 is 485813267940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 839, 651, 715, 372, 933
1. What is the LCM of 839, 651, 715, 372, 933?
Answer: LCM of 839, 651, 715, 372, 933 is 485813267940.
2. How to calculate the LCM of 839, 651, 715, 372, 933?
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, 651, 715, 372, 933.
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}.