LCM of 939, 820, 685, 980, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 820, 685, 980, 286 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, 820, 685, 980, 286. So, keep reading to learn more.
Given numbers are 939,820,685,980,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,820,685,980,286 is 739149230820.
Find LCM of 939,820,685,980,286 with Prime Factorization
| 2 | 939, 820, 685, 980, 286 |
| 2 | 939, 410, 685, 490, 143 |
| 5 | 939, 205, 685, 245, 143 |
| 939, 41, 137, 49, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 939 x 41 x 137 x 49 x 143 = 739149230820
Therefore, the lowest common multiple of 939,820,685,980,286 is 739149230820.
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 820 x 685 x 980 x 286 = 147829846164000
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
685 : 1, 5, 137, 685
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,820,685,980,286, is 1.
Now, the common factors can be found like this.
939:3x 313
820:2x 2x 5x 41
685:5x 137
980:2x 2x 5x 7x 7
286:2x 11x 13
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 147829846164000/(1x200)
LCM = 147829846164000/200
LCM = 739149230820
Thus, we can understand that the LCM of 939,820,685,980,286 is 739149230820.
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FAQs on LCM of 939, 820, 685, 980, 286
1. What is the LCM of 939, 820, 685, 980, 286?
Answer: LCM of 939, 820, 685, 980, 286 is 739149230820.
2. How to calculate the LCM of 939, 820, 685, 980, 286?
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, 820, 685, 980, 286.
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}.