LCM of 965, 524, 115, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 524, 115, 131 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 965, 524, 115, 131. So, keep reading to learn more.
Given numbers are 965,524,115,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,524,115,131 is 11630180.
Find LCM of 965,524,115,131 with Prime Factorization
| 5 | 965, 524, 115, 131 |
| 131 | 193, 524, 23, 131 |
| 193, 4, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 131 x 193 x 4 x 23 x 1 = 11630180
Therefore, the lowest common multiple of 965,524,115,131 is 11630180.
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.
965 x 524 x 115 x 131 = 7617767900
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.
965 : 1, 5, 193, 965
524 : 1, 2, 4, 131, 262, 524
115 : 1, 5, 23, 115
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,524,115,131, is 1.
Now, the common factors can be found like this.
965:5x 193
524:2x 2x 131
115:5x 23
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 131 = 655
Therefore, the value for common factors is 655.
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 = 7617767900/(1x655)
LCM = 7617767900/655
LCM = 11630180
Thus, we can understand that the LCM of 965,524,115,131 is 11630180.
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FAQs on LCM of 965, 524, 115, 131
1. What is the LCM of 965, 524, 115, 131?
Answer: LCM of 965, 524, 115, 131 is 11630180.
2. How to calculate the LCM of 965, 524, 115, 131?
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 965, 524, 115, 131.
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}.