LCM of 872, 978, 119, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 978, 119, 561 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 872, 978, 119, 561. So, keep reading to learn more.
Given numbers are 872,978,119,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,978,119,561 is 558168072.
Find LCM of 872,978,119,561 with Prime Factorization
| 2 | 872, 978, 119, 561 |
| 3 | 436, 489, 119, 561 |
| 17 | 436, 163, 119, 187 |
| 436, 163, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 436 x 163 x 7 x 11 = 558168072
Therefore, the lowest common multiple of 872,978,119,561 is 558168072.
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.
872 x 978 x 119 x 561 = 56933143344
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
978 : 1, 2, 3, 6, 163, 326, 489, 978
119 : 1, 7, 17, 119
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,978,119,561, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
978:2x 3x 163
119:7x 17
561:3x 11x 17
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 17 = 102
Therefore, the value for common factors is 102.
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 = 56933143344/(1x102)
LCM = 56933143344/102
LCM = 558168072
Thus, we can understand that the LCM of 872,978,119,561 is 558168072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 872, 978, 119, 561
1. What is the LCM of 872, 978, 119, 561?
Answer: LCM of 872, 978, 119, 561 is 558168072.
2. How to calculate the LCM of 872, 978, 119, 561?
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 872, 978, 119, 561.
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}.