LCM of 978, 268, 469, 588, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 268, 469, 588, 417 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, 268, 469, 588, 417. So, keep reading to learn more.
Given numbers are 978,268,469,588,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,268,469,588,417 is 892595172.
Find LCM of 978,268,469,588,417 with Prime Factorization
| 2 | 978, 268, 469, 588, 417 |
| 2 | 489, 134, 469, 294, 417 |
| 3 | 489, 67, 469, 147, 417 |
| 7 | 163, 67, 469, 49, 139 |
| 67 | 163, 67, 67, 7, 139 |
| 163, 1, 1, 7, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 67 x 163 x 1 x 1 x 7 x 139 = 892595172
Therefore, the lowest common multiple of 978,268,469,588,417 is 892595172.
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 268 x 469 x 588 x 417 = 30141153768096
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
268 : 1, 2, 4, 67, 134, 268
469 : 1, 7, 67, 469
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,268,469,588,417, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
268:2x 2x 67
469:7x 67
588:2x 2x 3x 7x 7
417:3x 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 2x 3x 3x 7x 67 = 33768
Therefore, the value for common factors is 33768.
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 = 30141153768096/(1x33768)
LCM = 30141153768096/33768
LCM = 892595172
Thus, we can understand that the LCM of 978,268,469,588,417 is 892595172.
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FAQs on LCM of 978, 268, 469, 588, 417
1. What is the LCM of 978, 268, 469, 588, 417?
Answer: LCM of 978, 268, 469, 588, 417 is 892595172.
2. How to calculate the LCM of 978, 268, 469, 588, 417?
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, 268, 469, 588, 417.
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}.