LCM of 965, 187, 832, 128, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 187, 832, 128, 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, 187, 832, 128, 921. So, keep reading to learn more.
Given numbers are 965,187,832,128,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,187,832,128,921 is 276555227520.
Find LCM of 965,187,832,128,921 with Prime Factorization
| 2 | 965, 187, 832, 128, 921 |
| 2 | 965, 187, 416, 64, 921 |
| 2 | 965, 187, 208, 32, 921 |
| 2 | 965, 187, 104, 16, 921 |
| 2 | 965, 187, 52, 8, 921 |
| 2 | 965, 187, 26, 4, 921 |
| 965, 187, 13, 2, 921 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 965 x 187 x 13 x 2 x 921 = 276555227520
Therefore, the lowest common multiple of 965,187,832,128,921 is 276555227520.
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 187 x 832 x 128 x 921 = 17699534561280
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
187 : 1, 11, 17, 187
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
128 : 1, 2, 4, 8, 16, 32, 64, 128
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,187,832,128,921, is 1.
Now, the common factors can be found like this.
965:5x 193
187:11x 17
832:2x 2x 2x 2x 2x 2x 13
128:2x 2x 2x 2x 2x 2x 2
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.
2x 2x 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 17699534561280/(1x64)
LCM = 17699534561280/64
LCM = 276555227520
Thus, we can understand that the LCM of 965,187,832,128,921 is 276555227520.
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FAQs on LCM of 965, 187, 832, 128, 921
1. What is the LCM of 965, 187, 832, 128, 921?
Answer: LCM of 965, 187, 832, 128, 921 is 276555227520.
2. How to calculate the LCM of 965, 187, 832, 128, 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, 187, 832, 128, 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}.