LCM of 874, 884, 986, 114, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 884, 986, 114, 117 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 874, 884, 986, 114, 117. So, keep reading to learn more.
Given numbers are 874,884,986,114,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,884,986,114,117 is 100826388.
Find LCM of 874,884,986,114,117 with Prime Factorization
| 2 | 874, 884, 986, 114, 117 |
| 3 | 437, 442, 493, 57, 117 |
| 13 | 437, 442, 493, 19, 39 |
| 17 | 437, 34, 493, 19, 3 |
| 19 | 437, 2, 29, 19, 3 |
| 23, 2, 29, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 19 x 23 x 2 x 29 x 1 x 3 = 100826388
Therefore, the lowest common multiple of 874,884,986,114,117 is 100826388.
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.
874 x 884 x 986 x 114 x 117 = 10160880077088
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
986 : 1, 2, 17, 29, 34, 58, 493, 986
114 : 1, 2, 3, 6, 19, 38, 57, 114
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,884,986,114,117, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
884:2x 2x 13x 17
986:2x 17x 29
114:2x 3x 19
117:3x 3x 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 3x 13x 17x 19 = 100776
Therefore, the value for common factors is 100776.
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 = 10160880077088/(1x100776)
LCM = 10160880077088/100776
LCM = 100826388
Thus, we can understand that the LCM of 874,884,986,114,117 is 100826388.
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FAQs on LCM of 874, 884, 986, 114, 117
1. What is the LCM of 874, 884, 986, 114, 117?
Answer: LCM of 874, 884, 986, 114, 117 is 100826388.
2. How to calculate the LCM of 874, 884, 986, 114, 117?
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 874, 884, 986, 114, 117.
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}.