LCM of 211, 920, 561, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 920, 561, 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 211, 920, 561, 844. So, keep reading to learn more.
Given numbers are 211,920,561,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,920,561,844 is 108901320.
Find LCM of 211,920,561,844 with Prime Factorization
| 2 | 211, 920, 561, 844 |
| 2 | 211, 460, 561, 422 |
| 211 | 211, 230, 561, 211 |
| 1, 230, 561, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 1 x 230 x 561 x 1 = 108901320
Therefore, the lowest common multiple of 211,920,561,844 is 108901320.
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.
211 x 920 x 561 x 844 = 91912714080
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.
211 : 1, 211
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
561 : 1, 3, 11, 17, 33, 51, 187, 561
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 211,920,561,844, is 1.
Now, the common factors can be found like this.
211:211
920:2x 2x 2x 5x 23
561:3x 11x 17
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 211 = 844
Therefore, the value for common factors is 844.
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 = 91912714080/(1x844)
LCM = 91912714080/844
LCM = 108901320
Thus, we can understand that the LCM of 211,920,561,844 is 108901320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 211, 920, 561, 844
1. What is the LCM of 211, 920, 561, 844?
Answer: LCM of 211, 920, 561, 844 is 108901320.
2. How to calculate the LCM of 211, 920, 561, 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 211, 920, 561, 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}.