LCM of 797, 903, 748, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 903, 748, 414 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, 903, 748, 414. So, keep reading to learn more.
Given numbers are 797,903,748,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,903,748,414 is 37144691892.
Find LCM of 797,903,748,414 with Prime Factorization
| 2 | 797, 903, 748, 414 |
| 3 | 797, 903, 374, 207 |
| 797, 301, 374, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 797 x 301 x 374 x 69 = 37144691892
Therefore, the lowest common multiple of 797,903,748,414 is 37144691892.
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 903 x 748 x 414 = 222868151352
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
903 : 1, 3, 7, 21, 43, 129, 301, 903
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,903,748,414, is 1.
Now, the common factors can be found like this.
797:797
903:3x 7x 43
748:2x 2x 11x 17
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 222868151352/(1x6)
LCM = 222868151352/6
LCM = 37144691892
Thus, we can understand that the LCM of 797,903,748,414 is 37144691892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 903, 748, 414
1. What is the LCM of 797, 903, 748, 414?
Answer: LCM of 797, 903, 748, 414 is 37144691892.
2. How to calculate the LCM of 797, 903, 748, 414?
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, 903, 748, 414.
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}.