LCM of 986, 945, 871, 265, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 945, 871, 265, 901 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, 945, 871, 265, 901. So, keep reading to learn more.
Given numbers are 986,945,871,265,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,945,871,265,901 is 43013298510.
Find LCM of 986,945,871,265,901 with Prime Factorization
| 5 | 986, 945, 871, 265, 901 |
| 17 | 986, 189, 871, 53, 901 |
| 53 | 58, 189, 871, 53, 53 |
| 58, 189, 871, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 53 x 58 x 189 x 871 x 1 x 1 = 43013298510
Therefore, the lowest common multiple of 986,945,871,265,901 is 43013298510.
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 945 x 871 x 265 x 901 = 193774909787550
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
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
871 : 1, 13, 67, 871
265 : 1, 5, 53, 265
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,945,871,265,901, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
945:3x 3x 3x 5x 7
871:13x 67
265:5x 53
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 53 = 4505
Therefore, the value for common factors is 4505.
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 = 193774909787550/(1x4505)
LCM = 193774909787550/4505
LCM = 43013298510
Thus, we can understand that the LCM of 986,945,871,265,901 is 43013298510.
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FAQs on LCM of 986, 945, 871, 265, 901
1. What is the LCM of 986, 945, 871, 265, 901?
Answer: LCM of 986, 945, 871, 265, 901 is 43013298510.
2. How to calculate the LCM of 986, 945, 871, 265, 901?
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, 945, 871, 265, 901.
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}.