LCM of 561, 978, 374, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 978, 374, 548 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, 978, 374, 548. So, keep reading to learn more.
Given numbers are 561,978,374,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,978,374,548 is 50110764.
Find LCM of 561,978,374,548 with Prime Factorization
| 2 | 561, 978, 374, 548 |
| 3 | 561, 489, 187, 274 |
| 11 | 187, 163, 187, 274 |
| 17 | 17, 163, 17, 274 |
| 1, 163, 1, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 1 x 163 x 1 x 274 = 50110764
Therefore, the lowest common multiple of 561,978,374,548 is 50110764.
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 978 x 374 x 548 = 112448554416
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
374 : 1, 2, 11, 17, 22, 34, 187, 374
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,978,374,548, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
978:2x 3x 163
374:2x 11x 17
548:2x 2x 137
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 3x 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 112448554416/(1x2244)
LCM = 112448554416/2244
LCM = 50110764
Thus, we can understand that the LCM of 561,978,374,548 is 50110764.
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FAQs on LCM of 561, 978, 374, 548
1. What is the LCM of 561, 978, 374, 548?
Answer: LCM of 561, 978, 374, 548 is 50110764.
2. How to calculate the LCM of 561, 978, 374, 548?
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, 978, 374, 548.
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}.