LCM of 593, 777, 138, 398, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 593, 777, 138, 398, 955 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 593, 777, 138, 398, 955. So, keep reading to learn more.
Given numbers are 593,777,138,398,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,777,138,398,955 is 4028004915270.
Find LCM of 593,777,138,398,955 with Prime Factorization
| 2 | 593, 777, 138, 398, 955 |
| 3 | 593, 777, 69, 199, 955 |
| 593, 259, 23, 199, 955 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 593 x 259 x 23 x 199 x 955 = 4028004915270
Therefore, the lowest common multiple of 593,777,138,398,955 is 4028004915270.
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.
593 x 777 x 138 x 398 x 955 = 24168029491620
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.
593 : 1, 593
777 : 1, 3, 7, 21, 37, 111, 259, 777
138 : 1, 2, 3, 6, 23, 46, 69, 138
398 : 1, 2, 199, 398
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,777,138,398,955, is 1.
Now, the common factors can be found like this.
593:593
777:3x 7x 37
138:2x 3x 23
398:2x 199
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 24168029491620/(1x6)
LCM = 24168029491620/6
LCM = 4028004915270
Thus, we can understand that the LCM of 593,777,138,398,955 is 4028004915270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 593, 777, 138, 398, 955
1. What is the LCM of 593, 777, 138, 398, 955?
Answer: LCM of 593, 777, 138, 398, 955 is 4028004915270.
2. How to calculate the LCM of 593, 777, 138, 398, 955?
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 593, 777, 138, 398, 955.
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}.