LCM of 561, 687, 978, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 687, 978, 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, 687, 978, 556. So, keep reading to learn more.
Given numbers are 561,687,978,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,687,978,556 is 11642888532.
Find LCM of 561,687,978,556 with Prime Factorization
| 2 | 561, 687, 978, 556 |
| 3 | 561, 687, 489, 278 |
| 187, 229, 163, 278 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 229 x 163 x 278 = 11642888532
Therefore, the lowest common multiple of 561,687,978,556 is 11642888532.
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 687 x 978 x 556 = 209571993576
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
687 : 1, 3, 229, 687
978 : 1, 2, 3, 6, 163, 326, 489, 978
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 561,687,978,556, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
687:3x 229
978:2x 3x 163
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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 209571993576/(1x18)
LCM = 209571993576/18
LCM = 11642888532
Thus, we can understand that the LCM of 561,687,978,556 is 11642888532.
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FAQs on LCM of 561, 687, 978, 556
1. What is the LCM of 561, 687, 978, 556?
Answer: LCM of 561, 687, 978, 556 is 11642888532.
2. How to calculate the LCM of 561, 687, 978, 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, 687, 978, 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}.