LCM of 876, 221, 960, 988, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 221, 960, 988, 639 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, 221, 960, 988, 639. So, keep reading to learn more.
Given numbers are 876,221,960,988,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,221,960,988,639 is 62678640960.
Find LCM of 876,221,960,988,639 with Prime Factorization
| 2 | 876, 221, 960, 988, 639 |
| 2 | 438, 221, 480, 494, 639 |
| 3 | 219, 221, 240, 247, 639 |
| 13 | 73, 221, 80, 247, 213 |
| 73, 17, 80, 19, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 73 x 17 x 80 x 19 x 213 = 62678640960
Therefore, the lowest common multiple of 876,221,960,988,639 is 62678640960.
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 221 x 960 x 988 x 639 = 117334415877120
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
221 : 1, 13, 17, 221
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,221,960,988,639, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
221:13x 17
960:2x 2x 2x 2x 2x 2x 3x 5
988:2x 2x 13x 19
639:3x 3x 71
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 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 117334415877120/(1x1872)
LCM = 117334415877120/1872
LCM = 62678640960
Thus, we can understand that the LCM of 876,221,960,988,639 is 62678640960.
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, 221, 960, 988, 639
1. What is the LCM of 876, 221, 960, 988, 639?
Answer: LCM of 876, 221, 960, 988, 639 is 62678640960.
2. How to calculate the LCM of 876, 221, 960, 988, 639?
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, 221, 960, 988, 639.
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}.