LCM of 964, 960, 967, 132, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 960, 967, 132, 404 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 964, 960, 967, 132, 404. So, keep reading to learn more.
Given numbers are 964,960,967,132,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,960,967,132,404 is 248558608320.
Find LCM of 964,960,967,132,404 with Prime Factorization
| 2 | 964, 960, 967, 132, 404 |
| 2 | 482, 480, 967, 66, 202 |
| 3 | 241, 240, 967, 33, 101 |
| 241, 80, 967, 11, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 80 x 967 x 11 x 101 = 248558608320
Therefore, the lowest common multiple of 964,960,967,132,404 is 248558608320.
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.
964 x 960 x 967 x 132 x 404 = 47723252797440
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.
964 : 1, 2, 4, 241, 482, 964
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
967 : 1, 967
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,960,967,132,404, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
960:2x 2x 2x 2x 2x 2x 3x 5
967:967
132:2x 2x 3x 11
404:2x 2x 101
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 47723252797440/(1x192)
LCM = 47723252797440/192
LCM = 248558608320
Thus, we can understand that the LCM of 964,960,967,132,404 is 248558608320.
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FAQs on LCM of 964, 960, 967, 132, 404
1. What is the LCM of 964, 960, 967, 132, 404?
Answer: LCM of 964, 960, 967, 132, 404 is 248558608320.
2. How to calculate the LCM of 964, 960, 967, 132, 404?
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 964, 960, 967, 132, 404.
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}.