LCM of 872, 252, 978, 247, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 252, 978, 247, 831 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, 252, 978, 247, 831. So, keep reading to learn more.
Given numbers are 872,252,978,247,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,252,978,247,831 is 612662587992.
Find LCM of 872,252,978,247,831 with Prime Factorization
| 2 | 872, 252, 978, 247, 831 |
| 2 | 436, 126, 489, 247, 831 |
| 3 | 218, 63, 489, 247, 831 |
| 218, 21, 163, 247, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 218 x 21 x 163 x 247 x 277 = 612662587992
Therefore, the lowest common multiple of 872,252,978,247,831 is 612662587992.
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 252 x 978 x 247 x 831 = 44111706335424
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
978 : 1, 2, 3, 6, 163, 326, 489, 978
247 : 1, 13, 19, 247
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,252,978,247,831, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
252:2x 2x 3x 3x 7
978:2x 3x 163
247:13x 19
831:3x 277
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 44111706335424/(1x72)
LCM = 44111706335424/72
LCM = 612662587992
Thus, we can understand that the LCM of 872,252,978,247,831 is 612662587992.
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FAQs on LCM of 872, 252, 978, 247, 831
1. What is the LCM of 872, 252, 978, 247, 831?
Answer: LCM of 872, 252, 978, 247, 831 is 612662587992.
2. How to calculate the LCM of 872, 252, 978, 247, 831?
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, 252, 978, 247, 831.
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}.