LCM of 644, 868, 627, 444, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 868, 627, 444, 805 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 644, 868, 627, 444, 805. So, keep reading to learn more.
Given numbers are 644,868,627,444,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,868,627,444,805 is 2315724180.
Find LCM of 644,868,627,444,805 with Prime Factorization
| 2 | 644, 868, 627, 444, 805 |
| 2 | 322, 434, 627, 222, 805 |
| 3 | 161, 217, 627, 111, 805 |
| 7 | 161, 217, 209, 37, 805 |
| 23 | 23, 31, 209, 37, 115 |
| 1, 31, 209, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 1 x 31 x 209 x 37 x 5 = 2315724180
Therefore, the lowest common multiple of 644,868,627,444,805 is 2315724180.
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.
644 x 868 x 627 x 444 x 805 = 125271415241280
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
627 : 1, 3, 11, 19, 33, 57, 209, 627
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,868,627,444,805, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
868:2x 2x 7x 31
627:3x 11x 19
444:2x 2x 3x 37
805:5x 7x 23
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 7x 7x 23 = 54096
Therefore, the value for common factors is 54096.
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 = 125271415241280/(1x54096)
LCM = 125271415241280/54096
LCM = 2315724180
Thus, we can understand that the LCM of 644,868,627,444,805 is 2315724180.
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FAQs on LCM of 644, 868, 627, 444, 805
1. What is the LCM of 644, 868, 627, 444, 805?
Answer: LCM of 644, 868, 627, 444, 805 is 2315724180.
2. How to calculate the LCM of 644, 868, 627, 444, 805?
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 644, 868, 627, 444, 805.
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}.