LCM of 639, 188, 727, 540, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 188, 727, 540, 923 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 639, 188, 727, 540, 923. So, keep reading to learn more.
Given numbers are 639,188,727,540,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,188,727,540,923 is 17030512980.
Find LCM of 639,188,727,540,923 with Prime Factorization
| 2 | 639, 188, 727, 540, 923 |
| 2 | 639, 94, 727, 270, 923 |
| 3 | 639, 47, 727, 135, 923 |
| 3 | 213, 47, 727, 45, 923 |
| 71 | 71, 47, 727, 15, 923 |
| 1, 47, 727, 15, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 71 x 1 x 47 x 727 x 15 x 13 = 17030512980
Therefore, the lowest common multiple of 639,188,727,540,923 is 17030512980.
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.
639 x 188 x 727 x 540 x 923 = 43529991176880
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.
639 : 1, 3, 9, 71, 213, 639
188 : 1, 2, 4, 47, 94, 188
727 : 1, 727
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,188,727,540,923, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
188:2x 2x 47
727:727
540:2x 2x 3x 3x 3x 5
923:13x 71
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 3x 3x 71 = 2556
Therefore, the value for common factors is 2556.
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 = 43529991176880/(1x2556)
LCM = 43529991176880/2556
LCM = 17030512980
Thus, we can understand that the LCM of 639,188,727,540,923 is 17030512980.
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FAQs on LCM of 639, 188, 727, 540, 923
1. What is the LCM of 639, 188, 727, 540, 923?
Answer: LCM of 639, 188, 727, 540, 923 is 17030512980.
2. How to calculate the LCM of 639, 188, 727, 540, 923?
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 639, 188, 727, 540, 923.
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}.