LCM of 797, 333, 546, 441, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 333, 546, 441, 223 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 797, 333, 546, 441, 223. So, keep reading to learn more.
Given numbers are 797,333,546,441,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,333,546,441,223 is 75400954902.
Find LCM of 797,333,546,441,223 with Prime Factorization
| 3 | 797, 333, 546, 441, 223 |
| 3 | 797, 111, 182, 147, 223 |
| 7 | 797, 37, 182, 49, 223 |
| 797, 37, 26, 7, 223 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 797 x 37 x 26 x 7 x 223 = 75400954902
Therefore, the lowest common multiple of 797,333,546,441,223 is 75400954902.
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.
797 x 333 x 546 x 441 x 223 = 14250780476478
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.
797 : 1, 797
333 : 1, 3, 9, 37, 111, 333
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,333,546,441,223, is 1.
Now, the common factors can be found like this.
797:797
333:3x 3x 37
546:2x 3x 7x 13
441:3x 3x 7x 7
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 14250780476478/(1x189)
LCM = 14250780476478/189
LCM = 75400954902
Thus, we can understand that the LCM of 797,333,546,441,223 is 75400954902.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 333, 546, 441, 223
1. What is the LCM of 797, 333, 546, 441, 223?
Answer: LCM of 797, 333, 546, 441, 223 is 75400954902.
2. How to calculate the LCM of 797, 333, 546, 441, 223?
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 797, 333, 546, 441, 223.
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}.