LCM of 560, 105, 286, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 105, 286, 616 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, 105, 286, 616. So, keep reading to learn more.
Given numbers are 560,105,286,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,105,286,616 is 240240.
Find LCM of 560,105,286,616 with Prime Factorization
| 2 | 560, 105, 286, 616 |
| 2 | 280, 105, 143, 308 |
| 2 | 140, 105, 143, 154 |
| 5 | 70, 105, 143, 77 |
| 7 | 14, 21, 143, 77 |
| 11 | 2, 3, 143, 11 |
| 2, 3, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 11 x 2 x 3 x 13 x 1 = 240240
Therefore, the lowest common multiple of 560,105,286,616 is 240240.
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 105 x 286 x 616 = 10359148800
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
286 : 1, 2, 11, 13, 22, 26, 143, 286
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,105,286,616, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
105:3x 5x 7
286:2x 11x 13
616:2x 2x 2x 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 2x 2x 2x 5x 7x 7x 11 = 43120
Therefore, the value for common factors is 43120.
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 = 10359148800/(1x43120)
LCM = 10359148800/43120
LCM = 240240
Thus, we can understand that the LCM of 560,105,286,616 is 240240.
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FAQs on LCM of 560, 105, 286, 616
1. What is the LCM of 560, 105, 286, 616?
Answer: LCM of 560, 105, 286, 616 is 240240.
2. How to calculate the LCM of 560, 105, 286, 616?
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, 105, 286, 616.
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}.