LCM of 422, 112, 221, 783, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 112, 221, 783, 928 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 422, 112, 221, 783, 928. So, keep reading to learn more.
Given numbers are 422,112,221,783,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,112,221,783,928 is 8178704352.
Find LCM of 422,112,221,783,928 with Prime Factorization
| 2 | 422, 112, 221, 783, 928 |
| 2 | 211, 56, 221, 783, 464 |
| 2 | 211, 28, 221, 783, 232 |
| 2 | 211, 14, 221, 783, 116 |
| 29 | 211, 7, 221, 783, 58 |
| 211, 7, 221, 27, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 211 x 7 x 221 x 27 x 2 = 8178704352
Therefore, the lowest common multiple of 422,112,221,783,928 is 8178704352.
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.
422 x 112 x 221 x 783 x 928 = 7589837638656
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.
422 : 1, 2, 211, 422
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
221 : 1, 13, 17, 221
783 : 1, 3, 9, 27, 29, 87, 261, 783
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,112,221,783,928, is 1.
Now, the common factors can be found like this.
422:2x 211
112:2x 2x 2x 2x 7
221:13x 17
783:3x 3x 3x 29
928:2x 2x 2x 2x 2x 29
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 29 = 928
Therefore, the value for common factors is 928.
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 = 7589837638656/(1x928)
LCM = 7589837638656/928
LCM = 8178704352
Thus, we can understand that the LCM of 422,112,221,783,928 is 8178704352.
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FAQs on LCM of 422, 112, 221, 783, 928
1. What is the LCM of 422, 112, 221, 783, 928?
Answer: LCM of 422, 112, 221, 783, 928 is 8178704352.
2. How to calculate the LCM of 422, 112, 221, 783, 928?
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 422, 112, 221, 783, 928.
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}.