LCM of 112, 969, 976, 353, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 969, 976, 353, 908 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, 969, 976, 353, 908. So, keep reading to learn more.
Given numbers are 112,969,976,353,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,969,976,353,908 is 530483887248.
Find LCM of 112,969,976,353,908 with Prime Factorization
| 2 | 112, 969, 976, 353, 908 |
| 2 | 56, 969, 488, 353, 454 |
| 2 | 28, 969, 244, 353, 227 |
| 2 | 14, 969, 122, 353, 227 |
| 7, 969, 61, 353, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 969 x 61 x 353 x 227 = 530483887248
Therefore, the lowest common multiple of 112,969,976,353,908 is 530483887248.
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 969 x 976 x 353 x 908 = 33950968783872
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
353 : 1, 353
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,969,976,353,908, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
969:3x 17x 19
976:2x 2x 2x 2x 61
353:353
908:2x 2x 227
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 2 = 64
Therefore, the value for common factors is 64.
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 = 33950968783872/(1x64)
LCM = 33950968783872/64
LCM = 530483887248
Thus, we can understand that the LCM of 112,969,976,353,908 is 530483887248.
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FAQs on LCM of 112, 969, 976, 353, 908
1. What is the LCM of 112, 969, 976, 353, 908?
Answer: LCM of 112, 969, 976, 353, 908 is 530483887248.
2. How to calculate the LCM of 112, 969, 976, 353, 908?
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, 969, 976, 353, 908.
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}.