LCM of 876, 233, 706, 932, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 233, 706, 932, 384 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 876, 233, 706, 932, 384. So, keep reading to learn more.
Given numbers are 876,233,706,932,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,233,706,932,384 is 2305603968.
Find LCM of 876,233,706,932,384 with Prime Factorization
| 2 | 876, 233, 706, 932, 384 |
| 2 | 438, 233, 353, 466, 192 |
| 3 | 219, 233, 353, 233, 96 |
| 233 | 73, 233, 353, 233, 32 |
| 73, 1, 353, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 73 x 1 x 353 x 1 x 32 = 2305603968
Therefore, the lowest common multiple of 876,233,706,932,384 is 2305603968.
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.
876 x 233 x 706 x 932 x 384 = 51571749556224
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
233 : 1, 233
706 : 1, 2, 353, 706
932 : 1, 2, 4, 233, 466, 932
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,233,706,932,384, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
233:233
706:2x 353
932:2x 2x 233
384:2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 233 = 22368
Therefore, the value for common factors is 22368.
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 = 51571749556224/(1x22368)
LCM = 51571749556224/22368
LCM = 2305603968
Thus, we can understand that the LCM of 876,233,706,932,384 is 2305603968.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 876, 233, 706, 932, 384
1. What is the LCM of 876, 233, 706, 932, 384?
Answer: LCM of 876, 233, 706, 932, 384 is 2305603968.
2. How to calculate the LCM of 876, 233, 706, 932, 384?
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 876, 233, 706, 932, 384.
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}.