LCM of 929, 723, 964, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 723, 964, 849 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 929, 723, 964, 849. So, keep reading to learn more.
Given numbers are 929,723,964,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,723,964,849 is 760327044.
Find LCM of 929,723,964,849 with Prime Factorization
| 3 | 929, 723, 964, 849 |
| 241 | 929, 241, 964, 283 |
| 929, 1, 4, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 241 x 929 x 1 x 4 x 283 = 760327044
Therefore, the lowest common multiple of 929,723,964,849 is 760327044.
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.
929 x 723 x 964 x 849 = 549716452812
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.
929 : 1, 929
723 : 1, 3, 241, 723
964 : 1, 2, 4, 241, 482, 964
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,723,964,849, is 1.
Now, the common factors can be found like this.
929:929
723:3x 241
964:2x 2x 241
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 241 = 723
Therefore, the value for common factors is 723.
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 = 549716452812/(1x723)
LCM = 549716452812/723
LCM = 760327044
Thus, we can understand that the LCM of 929,723,964,849 is 760327044.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 929, 723, 964, 849
1. What is the LCM of 929, 723, 964, 849?
Answer: LCM of 929, 723, 964, 849 is 760327044.
2. How to calculate the LCM of 929, 723, 964, 849?
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 929, 723, 964, 849.
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}.