LCM of 904, 274, 959, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 274, 959, 188 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 904, 274, 959, 188. So, keep reading to learn more.
Given numbers are 904,274,959,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,274,959,188 is 40745992.
Find LCM of 904,274,959,188 with Prime Factorization
| 2 | 904, 274, 959, 188 |
| 2 | 452, 137, 959, 94 |
| 137 | 226, 137, 959, 47 |
| 226, 1, 7, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 226 x 1 x 7 x 47 = 40745992
Therefore, the lowest common multiple of 904,274,959,188 is 40745992.
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.
904 x 274 x 959 x 188 = 44657607232
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
274 : 1, 2, 137, 274
959 : 1, 7, 137, 959
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,274,959,188, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
274:2x 137
959:7x 137
188:2x 2x 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 2x 137 = 1096
Therefore, the value for common factors is 1096.
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 = 44657607232/(1x1096)
LCM = 44657607232/1096
LCM = 40745992
Thus, we can understand that the LCM of 904,274,959,188 is 40745992.
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FAQs on LCM of 904, 274, 959, 188
1. What is the LCM of 904, 274, 959, 188?
Answer: LCM of 904, 274, 959, 188 is 40745992.
2. How to calculate the LCM of 904, 274, 959, 188?
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 904, 274, 959, 188.
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}.