LCM of 107, 394, 280, 890, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 394, 280, 890, 327 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 107, 394, 280, 890, 327. So, keep reading to learn more.
Given numbers are 107,394,280,890,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,394,280,890,327 is 171769398360.
Find LCM of 107,394,280,890,327 with Prime Factorization
| 2 | 107, 394, 280, 890, 327 |
| 5 | 107, 197, 140, 445, 327 |
| 107, 197, 28, 89, 327 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 107 x 197 x 28 x 89 x 327 = 171769398360
Therefore, the lowest common multiple of 107,394,280,890,327 is 171769398360.
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.
107 x 394 x 280 x 890 x 327 = 3435387967200
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.
107 : 1, 107
394 : 1, 2, 197, 394
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
890 : 1, 2, 5, 10, 89, 178, 445, 890
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,394,280,890,327, is 1.
Now, the common factors can be found like this.
107:107
394:2x 197
280:2x 2x 2x 5x 7
890:2x 5x 89
327:3x 109
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 5 = 20
Therefore, the value for common factors is 20.
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 = 3435387967200/(1x20)
LCM = 3435387967200/20
LCM = 171769398360
Thus, we can understand that the LCM of 107,394,280,890,327 is 171769398360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 394, 280, 890, 327
1. What is the LCM of 107, 394, 280, 890, 327?
Answer: LCM of 107, 394, 280, 890, 327 is 171769398360.
2. How to calculate the LCM of 107, 394, 280, 890, 327?
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 107, 394, 280, 890, 327.
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}.