LCM of 978, 988, 459, 442, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 988, 459, 442, 383 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, 988, 459, 442, 383. So, keep reading to learn more.
Given numbers are 978,988,459,442,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,988,459,442,383 is 28311052068.
Find LCM of 978,988,459,442,383 with Prime Factorization
| 2 | 978, 988, 459, 442, 383 |
| 3 | 489, 494, 459, 221, 383 |
| 13 | 163, 494, 153, 221, 383 |
| 17 | 163, 38, 153, 17, 383 |
| 163, 38, 9, 1, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 163 x 38 x 9 x 1 x 383 = 28311052068
Therefore, the lowest common multiple of 978,988,459,442,383 is 28311052068.
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 988 x 459 x 442 x 383 = 75080910084336
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
459 : 1, 3, 9, 17, 27, 51, 153, 459
442 : 1, 2, 13, 17, 26, 34, 221, 442
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,988,459,442,383, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
988:2x 2x 13x 19
459:3x 3x 3x 17
442:2x 13x 17
383:383
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 13x 17 = 2652
Therefore, the value for common factors is 2652.
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 = 75080910084336/(1x2652)
LCM = 75080910084336/2652
LCM = 28311052068
Thus, we can understand that the LCM of 978,988,459,442,383 is 28311052068.
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FAQs on LCM of 978, 988, 459, 442, 383
1. What is the LCM of 978, 988, 459, 442, 383?
Answer: LCM of 978, 988, 459, 442, 383 is 28311052068.
2. How to calculate the LCM of 978, 988, 459, 442, 383?
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, 988, 459, 442, 383.
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}.