LCM of 986, 960, 588, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 960, 588, 970 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 986, 960, 588, 970. So, keep reading to learn more.
Given numbers are 986,960,588,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,960,588,970 is 2249499840.
Find LCM of 986,960,588,970 with Prime Factorization
| 2 | 986, 960, 588, 970 |
| 2 | 493, 480, 294, 485 |
| 3 | 493, 240, 147, 485 |
| 5 | 493, 80, 49, 485 |
| 493, 16, 49, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 493 x 16 x 49 x 97 = 2249499840
Therefore, the lowest common multiple of 986,960,588,970 is 2249499840.
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.
986 x 960 x 588 x 970 = 539879961600
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
970 : 1, 2, 5, 10, 97, 194, 485, 970
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,960,588,970, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
960:2x 2x 2x 2x 2x 2x 3x 5
588:2x 2x 3x 7x 7
970:2x 5x 97
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 539879961600/(2x120)
LCM = 539879961600/240
LCM = 2249499840
Thus, we can understand that the LCM of 986,960,588,970 is 2249499840.
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FAQs on LCM of 986, 960, 588, 970
1. What is the LCM of 986, 960, 588, 970?
Answer: LCM of 986, 960, 588, 970 is 2249499840.
2. How to calculate the LCM of 986, 960, 588, 970?
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 986, 960, 588, 970.
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}.