LCM of 920, 985, 986, 464, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 985, 986, 464, 310 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 920, 985, 986, 464, 310. So, keep reading to learn more.
Given numbers are 920,985,986,464,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,985,986,464,310 is 5539781840.
Find LCM of 920,985,986,464,310 with Prime Factorization
| 2 | 920, 985, 986, 464, 310 |
| 2 | 460, 985, 493, 232, 155 |
| 2 | 230, 985, 493, 116, 155 |
| 5 | 115, 985, 493, 58, 155 |
| 29 | 23, 197, 493, 58, 31 |
| 23, 197, 17, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 29 x 23 x 197 x 17 x 2 x 31 = 5539781840
Therefore, the lowest common multiple of 920,985,986,464,310 is 5539781840.
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.
920 x 985 x 986 x 464 x 310 = 128522938688000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
985 : 1, 5, 197, 985
986 : 1, 2, 17, 29, 34, 58, 493, 986
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,985,986,464,310, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
985:5x 197
986:2x 17x 29
464:2x 2x 2x 2x 29
310:2x 5x 31
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 2x 2x 5x 5x 29 = 23200
Therefore, the value for common factors is 23200.
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 = 128522938688000/(1x23200)
LCM = 128522938688000/23200
LCM = 5539781840
Thus, we can understand that the LCM of 920,985,986,464,310 is 5539781840.
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FAQs on LCM of 920, 985, 986, 464, 310
1. What is the LCM of 920, 985, 986, 464, 310?
Answer: LCM of 920, 985, 986, 464, 310 is 5539781840.
2. How to calculate the LCM of 920, 985, 986, 464, 310?
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 920, 985, 986, 464, 310.
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}.