LCM of 965, 113, 645, 965, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 113, 645, 965, 921 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, 113, 645, 965, 921. So, keep reading to learn more.
Given numbers are 965,113,645,965,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,113,645,965,921 is 4318509135.
Find LCM of 965,113,645,965,921 with Prime Factorization
| 3 | 965, 113, 645, 965, 921 |
| 5 | 965, 113, 215, 965, 307 |
| 193 | 193, 113, 43, 193, 307 |
| 1, 113, 43, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 193 x 1 x 113 x 43 x 1 x 307 = 4318509135
Therefore, the lowest common multiple of 965,113,645,965,921 is 4318509135.
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 113 x 645 x 965 x 921 = 62510419729125
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
113 : 1, 113
645 : 1, 3, 5, 15, 43, 129, 215, 645
965 : 1, 5, 193, 965
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,113,645,965,921, is 1.
Now, the common factors can be found like this.
965:5x 193
113:113
645:3x 5x 43
965:5x 193
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 193 = 14475
Therefore, the value for common factors is 14475.
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 = 62510419729125/(1x14475)
LCM = 62510419729125/14475
LCM = 4318509135
Thus, we can understand that the LCM of 965,113,645,965,921 is 4318509135.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 965, 113, 645, 965, 921
1. What is the LCM of 965, 113, 645, 965, 921?
Answer: LCM of 965, 113, 645, 965, 921 is 4318509135.
2. How to calculate the LCM of 965, 113, 645, 965, 921?
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, 113, 645, 965, 921.
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}.