LCM of 926, 978, 840, 123, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 978, 840, 123, 414 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 926, 978, 840, 123, 414. So, keep reading to learn more.
Given numbers are 926,978,840,123,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,978,840,123,414 is 179341512840.
Find LCM of 926,978,840,123,414 with Prime Factorization
| 2 | 926, 978, 840, 123, 414 |
| 3 | 463, 489, 420, 123, 207 |
| 463, 163, 140, 41, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 463 x 163 x 140 x 41 x 69 = 179341512840
Therefore, the lowest common multiple of 926,978,840,123,414 is 179341512840.
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.
926 x 978 x 840 x 123 x 414 = 38737766773440
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.
926 : 1, 2, 463, 926
978 : 1, 2, 3, 6, 163, 326, 489, 978
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
123 : 1, 3, 41, 123
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,978,840,123,414, is 1.
Now, the common factors can be found like this.
926:2x 463
978:2x 3x 163
840:2x 2x 2x 3x 5x 7
123:3x 41
414:2x 3x 3x 23
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 38737766773440/(1x216)
LCM = 38737766773440/216
LCM = 179341512840
Thus, we can understand that the LCM of 926,978,840,123,414 is 179341512840.
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FAQs on LCM of 926, 978, 840, 123, 414
1. What is the LCM of 926, 978, 840, 123, 414?
Answer: LCM of 926, 978, 840, 123, 414 is 179341512840.
2. How to calculate the LCM of 926, 978, 840, 123, 414?
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 926, 978, 840, 123, 414.
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}.