LCM of 141, 993, 796, 111, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 993, 796, 111, 940 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 141, 993, 796, 111, 940. So, keep reading to learn more.
Given numbers are 141,993,796,111,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,993,796,111,940 is 6872771460.
Find LCM of 141,993,796,111,940 with Prime Factorization
| 2 | 141, 993, 796, 111, 940 |
| 2 | 141, 993, 398, 111, 470 |
| 3 | 141, 993, 199, 111, 235 |
| 47 | 47, 331, 199, 37, 235 |
| 1, 331, 199, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 1 x 331 x 199 x 37 x 5 = 6872771460
Therefore, the lowest common multiple of 141,993,796,111,940 is 6872771460.
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.
141 x 993 x 796 x 111 x 940 = 11628729310320
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.
141 : 1, 3, 47, 141
993 : 1, 3, 331, 993
796 : 1, 2, 4, 199, 398, 796
111 : 1, 3, 37, 111
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,993,796,111,940, is 1.
Now, the common factors can be found like this.
141:3x 47
993:3x 331
796:2x 2x 199
111:3x 37
940:2x 2x 5x 47
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 3x 3x 47 = 1692
Therefore, the value for common factors is 1692.
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 = 11628729310320/(1x1692)
LCM = 11628729310320/1692
LCM = 6872771460
Thus, we can understand that the LCM of 141,993,796,111,940 is 6872771460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 141, 993, 796, 111, 940
1. What is the LCM of 141, 993, 796, 111, 940?
Answer: LCM of 141, 993, 796, 111, 940 is 6872771460.
2. How to calculate the LCM of 141, 993, 796, 111, 940?
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 141, 993, 796, 111, 940.
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}.