LCM of 936, 706, 428, 231, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 706, 428, 231, 978 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 936, 706, 428, 231, 978. So, keep reading to learn more.
Given numbers are 936,706,428,231,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,706,428,231,978 is 443723736456.
Find LCM of 936,706,428,231,978 with Prime Factorization
| 2 | 936, 706, 428, 231, 978 |
| 2 | 468, 353, 214, 231, 489 |
| 3 | 234, 353, 107, 231, 489 |
| 78, 353, 107, 77, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 78 x 353 x 107 x 77 x 163 = 443723736456
Therefore, the lowest common multiple of 936,706,428,231,978 is 443723736456.
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.
936 x 706 x 428 x 231 x 978 = 63896218049664
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
706 : 1, 2, 353, 706
428 : 1, 2, 4, 107, 214, 428
231 : 1, 3, 7, 11, 21, 33, 77, 231
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,706,428,231,978, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
706:2x 353
428:2x 2x 107
231:3x 7x 11
978:2x 3x 163
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 3 = 144
Therefore, the value for common factors is 144.
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 = 63896218049664/(1x144)
LCM = 63896218049664/144
LCM = 443723736456
Thus, we can understand that the LCM of 936,706,428,231,978 is 443723736456.
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FAQs on LCM of 936, 706, 428, 231, 978
1. What is the LCM of 936, 706, 428, 231, 978?
Answer: LCM of 936, 706, 428, 231, 978 is 443723736456.
2. How to calculate the LCM of 936, 706, 428, 231, 978?
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 936, 706, 428, 231, 978.
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}.