LCM of 978, 684, 441, 615, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 684, 441, 615, 815 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, 684, 441, 615, 815. So, keep reading to learn more.
Given numbers are 978,684,441,615,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,684,441,615,815 is 1119937140.
Find LCM of 978,684,441,615,815 with Prime Factorization
| 2 | 978, 684, 441, 615, 815 |
| 3 | 489, 342, 441, 615, 815 |
| 3 | 163, 114, 147, 205, 815 |
| 5 | 163, 38, 49, 205, 815 |
| 163 | 163, 38, 49, 41, 163 |
| 1, 38, 49, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 163 x 1 x 38 x 49 x 41 x 1 = 1119937140
Therefore, the lowest common multiple of 978,684,441,615,815 is 1119937140.
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 684 x 441 x 615 x 815 = 147865300594200
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
615 : 1, 3, 5, 15, 41, 123, 205, 615
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,684,441,615,815, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
684:2x 2x 3x 3x 19
441:3x 3x 7x 7
615:3x 5x 41
815:5x 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 3x 3x 3x 3x 5x 163 = 132030
Therefore, the value for common factors is 132030.
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 = 147865300594200/(1x132030)
LCM = 147865300594200/132030
LCM = 1119937140
Thus, we can understand that the LCM of 978,684,441,615,815 is 1119937140.
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FAQs on LCM of 978, 684, 441, 615, 815
1. What is the LCM of 978, 684, 441, 615, 815?
Answer: LCM of 978, 684, 441, 615, 815 is 1119937140.
2. How to calculate the LCM of 978, 684, 441, 615, 815?
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, 684, 441, 615, 815.
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}.