LCM of 717, 713, 749, 851, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 713, 749, 851, 923 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 717, 713, 749, 851, 923. So, keep reading to learn more.
Given numbers are 717,713,749,851,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,713,749,851,923 is 13076572569879.
Find LCM of 717,713,749,851,923 with Prime Factorization
| 23 | 717, 713, 749, 851, 923 |
| 717, 31, 749, 37, 923 |
Multiply the prime numbers at the bottom and the left side.
23 x 717 x 31 x 749 x 37 x 923 = 13076572569879
Therefore, the lowest common multiple of 717,713,749,851,923 is 13076572569879.
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.
717 x 713 x 749 x 851 x 923 = 300761169107217
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.
717 : 1, 3, 239, 717
713 : 1, 23, 31, 713
749 : 1, 7, 107, 749
851 : 1, 23, 37, 851
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,713,749,851,923, is 1.
Now, the common factors can be found like this.
717:3x 239
713:23x 31
749:7x 107
851:23x 37
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 300761169107217/(1x23)
LCM = 300761169107217/23
LCM = 13076572569879
Thus, we can understand that the LCM of 717,713,749,851,923 is 13076572569879.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 713, 749, 851, 923
1. What is the LCM of 717, 713, 749, 851, 923?
Answer: LCM of 717, 713, 749, 851, 923 is 13076572569879.
2. How to calculate the LCM of 717, 713, 749, 851, 923?
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 717, 713, 749, 851, 923.
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}.