LCM of 782, 644, 606, 978, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 644, 606, 978, 327 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 782, 644, 606, 978, 327. So, keep reading to learn more.
Given numbers are 782,644,606,978,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,644,606,978,327 is 58937474148.
Find LCM of 782,644,606,978,327 with Prime Factorization
| 2 | 782, 644, 606, 978, 327 |
| 3 | 391, 322, 303, 489, 327 |
| 23 | 391, 322, 101, 163, 109 |
| 17, 14, 101, 163, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 17 x 14 x 101 x 163 x 109 = 58937474148
Therefore, the lowest common multiple of 782,644,606,978,327 is 58937474148.
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.
782 x 644 x 606 x 978 x 327 = 97600457189088
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
606 : 1, 2, 3, 6, 101, 202, 303, 606
978 : 1, 2, 3, 6, 163, 326, 489, 978
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,644,606,978,327, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
644:2x 2x 7x 23
606:2x 3x 101
978:2x 3x 163
327:3x 109
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 3x 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 97600457189088/(1x1656)
LCM = 97600457189088/1656
LCM = 58937474148
Thus, we can understand that the LCM of 782,644,606,978,327 is 58937474148.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 782, 644, 606, 978, 327
1. What is the LCM of 782, 644, 606, 978, 327?
Answer: LCM of 782, 644, 606, 978, 327 is 58937474148.
2. How to calculate the LCM of 782, 644, 606, 978, 327?
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 782, 644, 606, 978, 327.
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}.