LCM of 659, 595, 799, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 595, 799, 757 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 659, 595, 799, 757. So, keep reading to learn more.
Given numbers are 659,595,799,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,595,799,757 is 13950703795.
Find LCM of 659,595,799,757 with Prime Factorization
| 17 | 659, 595, 799, 757 |
| 659, 35, 47, 757 |
Multiply the prime numbers at the bottom and the left side.
17 x 659 x 35 x 47 x 757 = 13950703795
Therefore, the lowest common multiple of 659,595,799,757 is 13950703795.
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.
659 x 595 x 799 x 757 = 237161964515
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.
659 : 1, 659
595 : 1, 5, 7, 17, 35, 85, 119, 595
799 : 1, 17, 47, 799
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,595,799,757, is 1.
Now, the common factors can be found like this.
659:659
595:5x 7x 17
799:17x 47
757:757
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 237161964515/(1x17)
LCM = 237161964515/17
LCM = 13950703795
Thus, we can understand that the LCM of 659,595,799,757 is 13950703795.
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FAQs on LCM of 659, 595, 799, 757
1. What is the LCM of 659, 595, 799, 757?
Answer: LCM of 659, 595, 799, 757 is 13950703795.
2. How to calculate the LCM of 659, 595, 799, 757?
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 659, 595, 799, 757.
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}.