LCM of 721, 287, 902, 457, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 287, 902, 457, 913 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 721, 287, 902, 457, 913. So, keep reading to learn more.
Given numbers are 721,287,902,457,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,287,902,457,913 is 24668122402.
Find LCM of 721,287,902,457,913 with Prime Factorization
| 7 | 721, 287, 902, 457, 913 |
| 11 | 103, 41, 902, 457, 913 |
| 41 | 103, 41, 82, 457, 83 |
| 103, 1, 2, 457, 83 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 41 x 103 x 1 x 2 x 457 x 83 = 24668122402
Therefore, the lowest common multiple of 721,287,902,457,913 is 24668122402.
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.
721 x 287 x 902 x 457 x 913 = 77877262423114
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.
721 : 1, 7, 103, 721
287 : 1, 7, 41, 287
902 : 1, 2, 11, 22, 41, 82, 451, 902
457 : 1, 457
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,287,902,457,913, is 1.
Now, the common factors can be found like this.
721:7x 103
287:7x 41
902:2x 11x 41
457:457
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 41 = 3157
Therefore, the value for common factors is 3157.
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 = 77877262423114/(1x3157)
LCM = 77877262423114/3157
LCM = 24668122402
Thus, we can understand that the LCM of 721,287,902,457,913 is 24668122402.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 287, 902, 457, 913
1. What is the LCM of 721, 287, 902, 457, 913?
Answer: LCM of 721, 287, 902, 457, 913 is 24668122402.
2. How to calculate the LCM of 721, 287, 902, 457, 913?
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 721, 287, 902, 457, 913.
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}.