LCM of 827, 489, 583, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 489, 583, 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 827, 489, 583, 978. So, keep reading to learn more.
Given numbers are 827,489,583,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,489,583,978 is 471533898.
Find LCM of 827,489,583,978 with Prime Factorization
| 3 | 827, 489, 583, 978 |
| 163 | 827, 163, 583, 326 |
| 827, 1, 583, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 827 x 1 x 583 x 2 = 471533898
Therefore, the lowest common multiple of 827,489,583,978 is 471533898.
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.
827 x 489 x 583 x 978 = 230580076122
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.
827 : 1, 827
489 : 1, 3, 163, 489
583 : 1, 11, 53, 583
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 827,489,583,978, is 1.
Now, the common factors can be found like this.
827:827
489:3x 163
583:11x 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.
3x 163 = 489
Therefore, the value for common factors is 489.
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 = 230580076122/(1x489)
LCM = 230580076122/489
LCM = 471533898
Thus, we can understand that the LCM of 827,489,583,978 is 471533898.
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FAQs on LCM of 827, 489, 583, 978
1. What is the LCM of 827, 489, 583, 978?
Answer: LCM of 827, 489, 583, 978 is 471533898.
2. How to calculate the LCM of 827, 489, 583, 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 827, 489, 583, 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}.