LCM of 986, 108, 636, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 108, 636, 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 986, 108, 636, 978. So, keep reading to learn more.
Given numbers are 986,108,636,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,108,636,978 is 459974916.
Find LCM of 986,108,636,978 with Prime Factorization
| 2 | 986, 108, 636, 978 |
| 2 | 493, 54, 318, 489 |
| 3 | 493, 27, 159, 489 |
| 493, 9, 53, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 493 x 9 x 53 x 163 = 459974916
Therefore, the lowest common multiple of 986,108,636,978 is 459974916.
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.
986 x 108 x 636 x 978 = 66236387904
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,108,636,978, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
108:2x 2x 3x 3x 3
636:2x 2x 3x 53
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 66236387904/(2x72)
LCM = 66236387904/144
LCM = 459974916
Thus, we can understand that the LCM of 986,108,636,978 is 459974916.
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FAQs on LCM of 986, 108, 636, 978
1. What is the LCM of 986, 108, 636, 978?
Answer: LCM of 986, 108, 636, 978 is 459974916.
2. How to calculate the LCM of 986, 108, 636, 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 986, 108, 636, 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}.