LCM of 561, 320, 680, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 320, 680, 556 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 561, 320, 680, 556. So, keep reading to learn more.
Given numbers are 561,320,680,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,320,680,556 is 24953280.
Find LCM of 561,320,680,556 with Prime Factorization
| 2 | 561, 320, 680, 556 |
| 2 | 561, 160, 340, 278 |
| 2 | 561, 80, 170, 139 |
| 5 | 561, 40, 85, 139 |
| 17 | 561, 8, 17, 139 |
| 33, 8, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 33 x 8 x 1 x 139 = 24953280
Therefore, the lowest common multiple of 561,320,680,556 is 24953280.
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.
561 x 320 x 680 x 556 = 67872921600
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,320,680,556, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
320:2x 2x 2x 2x 2x 2x 5
680:2x 2x 2x 5x 17
556:2x 2x 139
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 5x 17 = 2720
Therefore, the value for common factors is 2720.
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 = 67872921600/(1x2720)
LCM = 67872921600/2720
LCM = 24953280
Thus, we can understand that the LCM of 561,320,680,556 is 24953280.
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FAQs on LCM of 561, 320, 680, 556
1. What is the LCM of 561, 320, 680, 556?
Answer: LCM of 561, 320, 680, 556 is 24953280.
2. How to calculate the LCM of 561, 320, 680, 556?
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 561, 320, 680, 556.
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}.