LCM of 960, 906, 453, 326, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 906, 453, 326, 943 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 960, 906, 453, 326, 943. So, keep reading to learn more.
Given numbers are 960,906,453,326,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,906,453,326,943 is 22281656640.
Find LCM of 960,906,453,326,943 with Prime Factorization
| 2 | 960, 906, 453, 326, 943 |
| 3 | 480, 453, 453, 163, 943 |
| 151 | 160, 151, 151, 163, 943 |
| 160, 1, 1, 163, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 160 x 1 x 1 x 163 x 943 = 22281656640
Therefore, the lowest common multiple of 960,906,453,326,943 is 22281656640.
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.
960 x 906 x 453 x 326 x 943 = 121123085495040
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.
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
906 : 1, 2, 3, 6, 151, 302, 453, 906
453 : 1, 3, 151, 453
326 : 1, 2, 163, 326
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,906,453,326,943, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
906:2x 3x 151
453:3x 151
326:2x 163
943:23x 41
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 3x 3x 151 = 5436
Therefore, the value for common factors is 5436.
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 = 121123085495040/(1x5436)
LCM = 121123085495040/5436
LCM = 22281656640
Thus, we can understand that the LCM of 960,906,453,326,943 is 22281656640.
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FAQs on LCM of 960, 906, 453, 326, 943
1. What is the LCM of 960, 906, 453, 326, 943?
Answer: LCM of 960, 906, 453, 326, 943 is 22281656640.
2. How to calculate the LCM of 960, 906, 453, 326, 943?
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 960, 906, 453, 326, 943.
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}.