LCM of 247, 168, 798, 986, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 168, 798, 986, 952 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 247, 168, 798, 986, 952. So, keep reading to learn more.
Given numbers are 247,168,798,986,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,168,798,986,952 is 20457528.
Find LCM of 247,168,798,986,952 with Prime Factorization
| 2 | 247, 168, 798, 986, 952 |
| 2 | 247, 84, 399, 493, 476 |
| 2 | 247, 42, 399, 493, 238 |
| 3 | 247, 21, 399, 493, 119 |
| 7 | 247, 7, 133, 493, 119 |
| 17 | 247, 1, 19, 493, 17 |
| 19 | 247, 1, 19, 29, 1 |
| 13, 1, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 19 x 13 x 1 x 1 x 29 x 1 = 20457528
Therefore, the lowest common multiple of 247,168,798,986,952 is 20457528.
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.
247 x 168 x 798 x 986 x 952 = 31083004382976
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.
247 : 1, 13, 19, 247
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
986 : 1, 2, 17, 29, 34, 58, 493, 986
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,168,798,986,952, is 1.
Now, the common factors can be found like this.
247:13x 19
168:2x 2x 2x 3x 7
798:2x 3x 7x 19
986:2x 17x 29
952:2x 2x 2x 7x 17
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 3x 7x 7x 17x 19 = 1519392
Therefore, the value for common factors is 1519392.
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 = 31083004382976/(1x1519392)
LCM = 31083004382976/1519392
LCM = 20457528
Thus, we can understand that the LCM of 247,168,798,986,952 is 20457528.
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FAQs on LCM of 247, 168, 798, 986, 952
1. What is the LCM of 247, 168, 798, 986, 952?
Answer: LCM of 247, 168, 798, 986, 952 is 20457528.
2. How to calculate the LCM of 247, 168, 798, 986, 952?
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 247, 168, 798, 986, 952.
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}.