LCM of 983, 103, 969, 824, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 103, 969, 824, 330 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, 103, 969, 824, 330. So, keep reading to learn more.
Given numbers are 983,103,969,824,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,103,969,824,330 is 43168523640.
Find LCM of 983,103,969,824,330 with Prime Factorization
| 2 | 983, 103, 969, 824, 330 |
| 3 | 983, 103, 969, 412, 165 |
| 103 | 983, 103, 323, 412, 55 |
| 983, 1, 323, 4, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 983 x 1 x 323 x 4 x 55 = 43168523640
Therefore, the lowest common multiple of 983,103,969,824,330 is 43168523640.
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 103 x 969 x 824 x 330 = 26678147609520
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
103 : 1, 103
969 : 1, 3, 17, 19, 51, 57, 323, 969
824 : 1, 2, 4, 8, 103, 206, 412, 824
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,103,969,824,330, is 1.
Now, the common factors can be found like this.
983:983
103:103
969:3x 17x 19
824:2x 2x 2x 103
330:2x 3x 5x 11
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 103 = 618
Therefore, the value for common factors is 618.
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 = 26678147609520/(1x618)
LCM = 26678147609520/618
LCM = 43168523640
Thus, we can understand that the LCM of 983,103,969,824,330 is 43168523640.
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FAQs on LCM of 983, 103, 969, 824, 330
1. What is the LCM of 983, 103, 969, 824, 330?
Answer: LCM of 983, 103, 969, 824, 330 is 43168523640.
2. How to calculate the LCM of 983, 103, 969, 824, 330?
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, 103, 969, 824, 330.
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}.