LCM of 741, 978, 489, 621, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 978, 489, 621, 517 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 741, 978, 489, 621, 517. So, keep reading to learn more.
Given numbers are 741,978,489,621,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,978,489,621,517 is 25852151754.
Find LCM of 741,978,489,621,517 with Prime Factorization
| 3 | 741, 978, 489, 621, 517 |
| 163 | 247, 326, 163, 207, 517 |
| 247, 2, 1, 207, 517 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 247 x 2 x 1 x 207 x 517 = 25852151754
Therefore, the lowest common multiple of 741,978,489,621,517 is 25852151754.
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.
741 x 978 x 489 x 621 x 517 = 113775319869354
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
978 : 1, 2, 3, 6, 163, 326, 489, 978
489 : 1, 3, 163, 489
621 : 1, 3, 9, 23, 27, 69, 207, 621
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,978,489,621,517, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
978:2x 3x 163
489:3x 163
621:3x 3x 3x 23
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 163 = 4401
Therefore, the value for common factors is 4401.
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 = 113775319869354/(1x4401)
LCM = 113775319869354/4401
LCM = 25852151754
Thus, we can understand that the LCM of 741,978,489,621,517 is 25852151754.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 978, 489, 621, 517
1. What is the LCM of 741, 978, 489, 621, 517?
Answer: LCM of 741, 978, 489, 621, 517 is 25852151754.
2. How to calculate the LCM of 741, 978, 489, 621, 517?
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 741, 978, 489, 621, 517.
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}.