LCM of 533, 960, 879, 451, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 960, 879, 451, 770 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 533, 960, 879, 451, 770. So, keep reading to learn more.
Given numbers are 533,960,879,451,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,960,879,451,770 is 11544012480.
Find LCM of 533,960,879,451,770 with Prime Factorization
| 2 | 533, 960, 879, 451, 770 |
| 3 | 533, 480, 879, 451, 385 |
| 5 | 533, 160, 293, 451, 385 |
| 11 | 533, 32, 293, 451, 77 |
| 41 | 533, 32, 293, 41, 7 |
| 13, 32, 293, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 41 x 13 x 32 x 293 x 1 x 7 = 11544012480
Therefore, the lowest common multiple of 533,960,879,451,770 is 11544012480.
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.
533 x 960 x 879 x 451 x 770 = 156190488854400
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.
533 : 1, 13, 41, 533
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
879 : 1, 3, 293, 879
451 : 1, 11, 41, 451
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,960,879,451,770, is 1.
Now, the common factors can be found like this.
533:13x 41
960:2x 2x 2x 2x 2x 2x 3x 5
879:3x 293
451:11x 41
770:2x 5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 41 = 13530
Therefore, the value for common factors is 13530.
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 = 156190488854400/(1x13530)
LCM = 156190488854400/13530
LCM = 11544012480
Thus, we can understand that the LCM of 533,960,879,451,770 is 11544012480.
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FAQs on LCM of 533, 960, 879, 451, 770
1. What is the LCM of 533, 960, 879, 451, 770?
Answer: LCM of 533, 960, 879, 451, 770 is 11544012480.
2. How to calculate the LCM of 533, 960, 879, 451, 770?
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 533, 960, 879, 451, 770.
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}.