LCM of 112, 219, 412, 608, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 219, 412, 608, 981 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 112, 219, 412, 608, 981. So, keep reading to learn more.
Given numbers are 112,219,412,608,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,219,412,608,981 is 31392847584.
Find LCM of 112,219,412,608,981 with Prime Factorization
| 2 | 112, 219, 412, 608, 981 |
| 2 | 56, 219, 206, 304, 981 |
| 2 | 28, 219, 103, 152, 981 |
| 2 | 14, 219, 103, 76, 981 |
| 3 | 7, 219, 103, 38, 981 |
| 7, 73, 103, 38, 327 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 73 x 103 x 38 x 327 = 31392847584
Therefore, the lowest common multiple of 112,219,412,608,981 is 31392847584.
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.
112 x 219 x 412 x 608 x 981 = 6027426736128
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
219 : 1, 3, 73, 219
412 : 1, 2, 4, 103, 206, 412
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,219,412,608,981, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
219:3x 73
412:2x 2x 103
608:2x 2x 2x 2x 2x 19
981:3x 3x 109
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 2x 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 6027426736128/(1x192)
LCM = 6027426736128/192
LCM = 31392847584
Thus, we can understand that the LCM of 112,219,412,608,981 is 31392847584.
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FAQs on LCM of 112, 219, 412, 608, 981
1. What is the LCM of 112, 219, 412, 608, 981?
Answer: LCM of 112, 219, 412, 608, 981 is 31392847584.
2. How to calculate the LCM of 112, 219, 412, 608, 981?
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 112, 219, 412, 608, 981.
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}.