LCM of 419, 738, 723, 897, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 738, 723, 897, 115 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 419, 738, 723, 897, 115. So, keep reading to learn more.
Given numbers are 419,738,723,897,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,738,723,897,115 is 111411140490.
Find LCM of 419,738,723,897,115 with Prime Factorization
| 3 | 419, 738, 723, 897, 115 |
| 23 | 419, 246, 241, 299, 115 |
| 419, 246, 241, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 419 x 246 x 241 x 13 x 5 = 111411140490
Therefore, the lowest common multiple of 419,738,723,897,115 is 111411140490.
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.
419 x 738 x 723 x 897 x 115 = 23062106081430
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.
419 : 1, 419
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
723 : 1, 3, 241, 723
897 : 1, 3, 13, 23, 39, 69, 299, 897
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,738,723,897,115, is 1.
Now, the common factors can be found like this.
419:419
738:2x 3x 3x 41
723:3x 241
897:3x 13x 23
115:5x 23
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 23 = 207
Therefore, the value for common factors is 207.
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 = 23062106081430/(1x207)
LCM = 23062106081430/207
LCM = 111411140490
Thus, we can understand that the LCM of 419,738,723,897,115 is 111411140490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 419, 738, 723, 897, 115
1. What is the LCM of 419, 738, 723, 897, 115?
Answer: LCM of 419, 738, 723, 897, 115 is 111411140490.
2. How to calculate the LCM of 419, 738, 723, 897, 115?
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 419, 738, 723, 897, 115.
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}.