LCM of 797, 865, 738, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 865, 738, 715 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, 865, 738, 715. So, keep reading to learn more.
Given numbers are 797,865,738,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,865,738,715 is 72755667270.
Find LCM of 797,865,738,715 with Prime Factorization
| 5 | 797, 865, 738, 715 |
| 797, 173, 738, 143 |
Multiply the prime numbers at the bottom and the left side.
5 x 797 x 173 x 738 x 143 = 72755667270
Therefore, the lowest common multiple of 797,865,738,715 is 72755667270.
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 865 x 738 x 715 = 363778336350
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
865 : 1, 5, 173, 865
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,865,738,715, is 1.
Now, the common factors can be found like this.
797:797
865:5x 173
738:2x 3x 3x 41
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 363778336350/(1x5)
LCM = 363778336350/5
LCM = 72755667270
Thus, we can understand that the LCM of 797,865,738,715 is 72755667270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 865, 738, 715
1. What is the LCM of 797, 865, 738, 715?
Answer: LCM of 797, 865, 738, 715 is 72755667270.
2. How to calculate the LCM of 797, 865, 738, 715?
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, 865, 738, 715.
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}.