LCM of 939, 629, 325, 680, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 629, 325, 680, 219 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 939, 629, 325, 680, 219. So, keep reading to learn more.
Given numbers are 939,629,325,680,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,629,325,680,219 is 112101763800.
Find LCM of 939,629,325,680,219 with Prime Factorization
| 3 | 939, 629, 325, 680, 219 |
| 5 | 313, 629, 325, 680, 73 |
| 17 | 313, 629, 65, 136, 73 |
| 313, 37, 65, 8, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 313 x 37 x 65 x 8 x 73 = 112101763800
Therefore, the lowest common multiple of 939,629,325,680,219 is 112101763800.
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.
939 x 629 x 325 x 680 x 219 = 28585949769000
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.
939 : 1, 3, 313, 939
629 : 1, 17, 37, 629
325 : 1, 5, 13, 25, 65, 325
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,629,325,680,219, is 1.
Now, the common factors can be found like this.
939:3x 313
629:17x 37
325:5x 5x 13
680:2x 2x 2x 5x 17
219:3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17 = 255
Therefore, the value for common factors is 255.
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 = 28585949769000/(1x255)
LCM = 28585949769000/255
LCM = 112101763800
Thus, we can understand that the LCM of 939,629,325,680,219 is 112101763800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 629, 325, 680, 219
1. What is the LCM of 939, 629, 325, 680, 219?
Answer: LCM of 939, 629, 325, 680, 219 is 112101763800.
2. How to calculate the LCM of 939, 629, 325, 680, 219?
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 939, 629, 325, 680, 219.
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}.