LCM of 560, 783, 503, 777, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 783, 503, 777, 896 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 560, 783, 503, 777, 896. So, keep reading to learn more.
Given numbers are 560,783,503,777,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,783,503,777,896 is 65284410240.
Find LCM of 560,783,503,777,896 with Prime Factorization
| 2 | 560, 783, 503, 777, 896 |
| 2 | 280, 783, 503, 777, 448 |
| 2 | 140, 783, 503, 777, 224 |
| 2 | 70, 783, 503, 777, 112 |
| 3 | 35, 783, 503, 777, 56 |
| 7 | 35, 261, 503, 259, 56 |
| 5, 261, 503, 37, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 5 x 261 x 503 x 37 x 8 = 65284410240
Therefore, the lowest common multiple of 560,783,503,777,896 is 65284410240.
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.
560 x 783 x 503 x 777 x 896 = 153548932884480
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
783 : 1, 3, 9, 27, 29, 87, 261, 783
503 : 1, 503
777 : 1, 3, 7, 21, 37, 111, 259, 777
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,783,503,777,896, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
783:3x 3x 3x 29
503:503
777:3x 7x 37
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 153548932884480/(1x2352)
LCM = 153548932884480/2352
LCM = 65284410240
Thus, we can understand that the LCM of 560,783,503,777,896 is 65284410240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 560, 783, 503, 777, 896
1. What is the LCM of 560, 783, 503, 777, 896?
Answer: LCM of 560, 783, 503, 777, 896 is 65284410240.
2. How to calculate the LCM of 560, 783, 503, 777, 896?
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 560, 783, 503, 777, 896.
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}.