LCM of 427, 843, 986, 165, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 843, 986, 165, 936 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 427, 843, 986, 165, 936. So, keep reading to learn more.
Given numbers are 427,843,986,165,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,843,986,165,936 is 3045226864680.
Find LCM of 427,843,986,165,936 with Prime Factorization
| 2 | 427, 843, 986, 165, 936 |
| 3 | 427, 843, 493, 165, 468 |
| 427, 281, 493, 55, 156 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 427 x 281 x 493 x 55 x 156 = 3045226864680
Therefore, the lowest common multiple of 427,843,986,165,936 is 3045226864680.
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.
427 x 843 x 986 x 165 x 936 = 54814083564240
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.
427 : 1, 7, 61, 427
843 : 1, 3, 281, 843
986 : 1, 2, 17, 29, 34, 58, 493, 986
165 : 1, 3, 5, 11, 15, 33, 55, 165
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,843,986,165,936, is 1.
Now, the common factors can be found like this.
427:7x 61
843:3x 281
986:2x 17x 29
165:3x 5x 11
936:2x 2x 2x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 54814083564240/(1x18)
LCM = 54814083564240/18
LCM = 3045226864680
Thus, we can understand that the LCM of 427,843,986,165,936 is 3045226864680.
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FAQs on LCM of 427, 843, 986, 165, 936
1. What is the LCM of 427, 843, 986, 165, 936?
Answer: LCM of 427, 843, 986, 165, 936 is 3045226864680.
2. How to calculate the LCM of 427, 843, 986, 165, 936?
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 427, 843, 986, 165, 936.
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}.