LCM of 310, 973, 665, 798, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 973, 665, 798, 536 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 310, 973, 665, 798, 536. So, keep reading to learn more.
Given numbers are 310,973,665,798,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,973,665,798,536 is 4607699880.
Find LCM of 310,973,665,798,536 with Prime Factorization
| 2 | 310, 973, 665, 798, 536 |
| 5 | 155, 973, 665, 399, 268 |
| 7 | 31, 973, 133, 399, 268 |
| 19 | 31, 139, 19, 57, 268 |
| 31, 139, 1, 3, 268 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 19 x 31 x 139 x 1 x 3 x 268 = 4607699880
Therefore, the lowest common multiple of 310,973,665,798,536 is 4607699880.
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.
310 x 973 x 665 x 798 x 536 = 85795371765600
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
973 : 1, 7, 139, 973
665 : 1, 5, 7, 19, 35, 95, 133, 665
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,973,665,798,536, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
973:7x 139
665:5x 7x 19
798:2x 3x 7x 19
536:2x 2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 7x 7x 19 = 18620
Therefore, the value for common factors is 18620.
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 = 85795371765600/(1x18620)
LCM = 85795371765600/18620
LCM = 4607699880
Thus, we can understand that the LCM of 310,973,665,798,536 is 4607699880.
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FAQs on LCM of 310, 973, 665, 798, 536
1. What is the LCM of 310, 973, 665, 798, 536?
Answer: LCM of 310, 973, 665, 798, 536 is 4607699880.
2. How to calculate the LCM of 310, 973, 665, 798, 536?
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 310, 973, 665, 798, 536.
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}.