LCM of 813, 978, 599, 258, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 978, 599, 258, 556 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 813, 978, 599, 258, 556. So, keep reading to learn more.
Given numbers are 813,978,599,258,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,978,599,258,556 is 1897790286948.
Find LCM of 813,978,599,258,556 with Prime Factorization
| 2 | 813, 978, 599, 258, 556 |
| 3 | 813, 489, 599, 129, 278 |
| 271, 163, 599, 43, 278 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 163 x 599 x 43 x 278 = 1897790286948
Therefore, the lowest common multiple of 813,978,599,258,556 is 1897790286948.
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.
813 x 978 x 599 x 258 x 556 = 68320450330128
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.
813 : 1, 3, 271, 813
978 : 1, 2, 3, 6, 163, 326, 489, 978
599 : 1, 599
258 : 1, 2, 3, 6, 43, 86, 129, 258
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,978,599,258,556, is 1.
Now, the common factors can be found like this.
813:3x 271
978:2x 3x 163
599:599
258:2x 3x 43
556:2x 2x 139
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 3 = 36
Therefore, the value for common factors is 36.
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 = 68320450330128/(1x36)
LCM = 68320450330128/36
LCM = 1897790286948
Thus, we can understand that the LCM of 813,978,599,258,556 is 1897790286948.
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FAQs on LCM of 813, 978, 599, 258, 556
1. What is the LCM of 813, 978, 599, 258, 556?
Answer: LCM of 813, 978, 599, 258, 556 is 1897790286948.
2. How to calculate the LCM of 813, 978, 599, 258, 556?
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 813, 978, 599, 258, 556.
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}.