LCM of 978, 726, 792, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 726, 792, 981 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 978, 726, 792, 981. So, keep reading to learn more.
Given numbers are 978,726,792,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,726,792,981 is 154786104.
Find LCM of 978,726,792,981 with Prime Factorization
| 2 | 978, 726, 792, 981 |
| 3 | 489, 363, 396, 981 |
| 3 | 163, 121, 132, 327 |
| 11 | 163, 121, 44, 109 |
| 163, 11, 4, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 163 x 11 x 4 x 109 = 154786104
Therefore, the lowest common multiple of 978,726,792,981 is 154786104.
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.
978 x 726 x 792 x 981 = 551657674656
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
981 : 1, 3, 9, 109, 327, 981
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,726,792,981, is 3.
Now, the common factors can be found like this.
978:2x 3x 163
726:2x 3x 11x 11
792:2x 2x 2x 3x 3x 11
981:3x 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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 551657674656/(3x1188)
LCM = 551657674656/3564
LCM = 154786104
Thus, we can understand that the LCM of 978,726,792,981 is 154786104.
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FAQs on LCM of 978, 726, 792, 981
1. What is the LCM of 978, 726, 792, 981?
Answer: LCM of 978, 726, 792, 981 is 154786104.
2. How to calculate the LCM of 978, 726, 792, 981?
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 978, 726, 792, 981.
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}.