LCM of 932, 856, 253, 928, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 856, 253, 928, 844 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 932, 856, 253, 928, 844. So, keep reading to learn more.
Given numbers are 932,856,253,928,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,856,253,928,844 is 1235067379744.
Find LCM of 932,856,253,928,844 with Prime Factorization
| 2 | 932, 856, 253, 928, 844 |
| 2 | 466, 428, 253, 464, 422 |
| 2 | 233, 214, 253, 232, 211 |
| 233, 107, 253, 116, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 233 x 107 x 253 x 116 x 211 = 1235067379744
Therefore, the lowest common multiple of 932,856,253,928,844 is 1235067379744.
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.
932 x 856 x 253 x 928 x 844 = 158088624607232
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.
932 : 1, 2, 4, 233, 466, 932
856 : 1, 2, 4, 8, 107, 214, 428, 856
253 : 1, 11, 23, 253
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,856,253,928,844, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
856:2x 2x 2x 107
253:11x 23
928:2x 2x 2x 2x 2x 29
844:2x 2x 211
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 2 = 128
Therefore, the value for common factors is 128.
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 = 158088624607232/(1x128)
LCM = 158088624607232/128
LCM = 1235067379744
Thus, we can understand that the LCM of 932,856,253,928,844 is 1235067379744.
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FAQs on LCM of 932, 856, 253, 928, 844
1. What is the LCM of 932, 856, 253, 928, 844?
Answer: LCM of 932, 856, 253, 928, 844 is 1235067379744.
2. How to calculate the LCM of 932, 856, 253, 928, 844?
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 932, 856, 253, 928, 844.
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}.