LCM of 803, 548, 824, 721, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 548, 824, 721, 320 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 803, 548, 824, 721, 320. So, keep reading to learn more.
Given numbers are 803,548,824,721,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,548,824,721,320 is 25381737920.
Find LCM of 803,548,824,721,320 with Prime Factorization
| 2 | 803, 548, 824, 721, 320 |
| 2 | 803, 274, 412, 721, 160 |
| 2 | 803, 137, 206, 721, 80 |
| 103 | 803, 137, 103, 721, 40 |
| 803, 137, 1, 7, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 803 x 137 x 1 x 7 x 40 = 25381737920
Therefore, the lowest common multiple of 803,548,824,721,320 is 25381737920.
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.
803 x 548 x 824 x 721 x 320 = 83658208184320
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.
803 : 1, 11, 73, 803
548 : 1, 2, 4, 137, 274, 548
824 : 1, 2, 4, 8, 103, 206, 412, 824
721 : 1, 7, 103, 721
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,548,824,721,320, is 1.
Now, the common factors can be found like this.
803:11x 73
548:2x 2x 137
824:2x 2x 2x 103
721:7x 103
320:2x 2x 2x 2x 2x 2x 5
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 103 = 3296
Therefore, the value for common factors is 3296.
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 = 83658208184320/(1x3296)
LCM = 83658208184320/3296
LCM = 25381737920
Thus, we can understand that the LCM of 803,548,824,721,320 is 25381737920.
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FAQs on LCM of 803, 548, 824, 721, 320
1. What is the LCM of 803, 548, 824, 721, 320?
Answer: LCM of 803, 548, 824, 721, 320 is 25381737920.
2. How to calculate the LCM of 803, 548, 824, 721, 320?
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 803, 548, 824, 721, 320.
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}.