LCM of 943, 805, 878, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 805, 878, 964 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 943, 805, 878, 964. So, keep reading to learn more.
Given numbers are 943,805,878,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,805,878,964 is 13967583980.
Find LCM of 943,805,878,964 with Prime Factorization
| 2 | 943, 805, 878, 964 |
| 23 | 943, 805, 439, 482 |
| 41, 35, 439, 482 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 41 x 35 x 439 x 482 = 13967583980
Therefore, the lowest common multiple of 943,805,878,964 is 13967583980.
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.
943 x 805 x 878 x 964 = 642508863080
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.
943 : 1, 23, 41, 943
805 : 1, 5, 7, 23, 35, 115, 161, 805
878 : 1, 2, 439, 878
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,805,878,964, is 1.
Now, the common factors can be found like this.
943:23x 41
805:5x 7x 23
878:2x 439
964:2x 2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 642508863080/(1x46)
LCM = 642508863080/46
LCM = 13967583980
Thus, we can understand that the LCM of 943,805,878,964 is 13967583980.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 943, 805, 878, 964
1. What is the LCM of 943, 805, 878, 964?
Answer: LCM of 943, 805, 878, 964 is 13967583980.
2. How to calculate the LCM of 943, 805, 878, 964?
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 943, 805, 878, 964.
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}.