LCM of 983, 871, 364, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 871, 364, 643 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 983, 871, 364, 643. So, keep reading to learn more.
Given numbers are 983,871,364,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,871,364,643 is 15414898772.
Find LCM of 983,871,364,643 with Prime Factorization
| 13 | 983, 871, 364, 643 |
| 983, 67, 28, 643 |
Multiply the prime numbers at the bottom and the left side.
13 x 983 x 67 x 28 x 643 = 15414898772
Therefore, the lowest common multiple of 983,871,364,643 is 15414898772.
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.
983 x 871 x 364 x 643 = 200393684036
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.
983 : 1, 983
871 : 1, 13, 67, 871
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,871,364,643, is 1.
Now, the common factors can be found like this.
983:983
871:13x 67
364:2x 2x 7x 13
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 200393684036/(1x13)
LCM = 200393684036/13
LCM = 15414898772
Thus, we can understand that the LCM of 983,871,364,643 is 15414898772.
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FAQs on LCM of 983, 871, 364, 643
1. What is the LCM of 983, 871, 364, 643?
Answer: LCM of 983, 871, 364, 643 is 15414898772.
2. How to calculate the LCM of 983, 871, 364, 643?
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 983, 871, 364, 643.
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}.