LCM of 644, 627, 978, 981, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 627, 978, 981, 982 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, 627, 978, 981, 982. So, keep reading to learn more.
Given numbers are 644,627,978,981,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,627,978,981,982 is 10567451356308.
Find LCM of 644,627,978,981,982 with Prime Factorization
| 2 | 644, 627, 978, 981, 982 |
| 3 | 322, 627, 489, 981, 491 |
| 322, 209, 163, 327, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 322 x 209 x 163 x 327 x 491 = 10567451356308
Therefore, the lowest common multiple of 644,627,978,981,982 is 10567451356308.
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 627 x 978 x 981 x 982 = 380428248827088
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
978 : 1, 2, 3, 6, 163, 326, 489, 978
981 : 1, 3, 9, 109, 327, 981
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,627,978,981,982, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
627:3x 11x 19
978:2x 3x 163
981:3x 3x 109
982:2x 491
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 380428248827088/(1x36)
LCM = 380428248827088/36
LCM = 10567451356308
Thus, we can understand that the LCM of 644,627,978,981,982 is 10567451356308.
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FAQs on LCM of 644, 627, 978, 981, 982
1. What is the LCM of 644, 627, 978, 981, 982?
Answer: LCM of 644, 627, 978, 981, 982 is 10567451356308.
2. How to calculate the LCM of 644, 627, 978, 981, 982?
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, 627, 978, 981, 982.
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}.