LCM of 218, 919, 270, 311, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 919, 270, 311, 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 218, 919, 270, 311, 978. So, keep reading to learn more.
Given numbers are 218,919,270,311,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,919,270,311,978 is 1371051495810.
Find LCM of 218,919,270,311,978 with Prime Factorization
| 2 | 218, 919, 270, 311, 978 |
| 3 | 109, 919, 135, 311, 489 |
| 109, 919, 45, 311, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 919 x 45 x 311 x 163 = 1371051495810
Therefore, the lowest common multiple of 218,919,270,311,978 is 1371051495810.
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.
218 x 919 x 270 x 311 x 978 = 16452617949720
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.
218 : 1, 2, 109, 218
919 : 1, 919
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
311 : 1, 311
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 218,919,270,311,978, is 1.
Now, the common factors can be found like this.
218:2x 109
919:919
270:2x 3x 3x 3x 5
311:311
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.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 16452617949720/(1x12)
LCM = 16452617949720/12
LCM = 1371051495810
Thus, we can understand that the LCM of 218,919,270,311,978 is 1371051495810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 919, 270, 311, 978
1. What is the LCM of 218, 919, 270, 311, 978?
Answer: LCM of 218, 919, 270, 311, 978 is 1371051495810.
2. How to calculate the LCM of 218, 919, 270, 311, 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 218, 919, 270, 311, 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}.