LCM of 643, 216, 891, 869, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 216, 891, 869, 646 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 643, 216, 891, 869, 646. So, keep reading to learn more.
Given numbers are 643,216,891,869,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,216,891,869,646 is 116952168168.
Find LCM of 643,216,891,869,646 with Prime Factorization
| 2 | 643, 216, 891, 869, 646 |
| 3 | 643, 108, 891, 869, 323 |
| 3 | 643, 36, 297, 869, 323 |
| 3 | 643, 12, 99, 869, 323 |
| 11 | 643, 4, 33, 869, 323 |
| 643, 4, 3, 79, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 643 x 4 x 3 x 79 x 323 = 116952168168
Therefore, the lowest common multiple of 643,216,891,869,646 is 116952168168.
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.
643 x 216 x 891 x 869 x 646 = 69469587891792
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.
643 : 1, 643
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
869 : 1, 11, 79, 869
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,216,891,869,646, is 1.
Now, the common factors can be found like this.
643:643
216:2x 2x 2x 3x 3x 3
891:3x 3x 3x 3x 11
869:11x 79
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 69469587891792/(1x594)
LCM = 69469587891792/594
LCM = 116952168168
Thus, we can understand that the LCM of 643,216,891,869,646 is 116952168168.
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FAQs on LCM of 643, 216, 891, 869, 646
1. What is the LCM of 643, 216, 891, 869, 646?
Answer: LCM of 643, 216, 891, 869, 646 is 116952168168.
2. How to calculate the LCM of 643, 216, 891, 869, 646?
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 643, 216, 891, 869, 646.
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}.