LCM of 872, 880, 430, 517, 631
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 880, 430, 517, 631 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, 880, 430, 517, 631. So, keep reading to learn more.
Given numbers are 872,880,430,517,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,880,430,517,631 is 122322075920.
Find LCM of 872,880,430,517,631 with Prime Factorization
| 2 | 872, 880, 430, 517, 631 |
| 2 | 436, 440, 215, 517, 631 |
| 2 | 218, 220, 215, 517, 631 |
| 5 | 109, 110, 215, 517, 631 |
| 11 | 109, 22, 43, 517, 631 |
| 109, 2, 43, 47, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 109 x 2 x 43 x 47 x 631 = 122322075920
Therefore, the lowest common multiple of 872,880,430,517,631 is 122322075920.
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 880 x 430 x 517 x 631 = 107643426809600
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
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
430 : 1, 2, 5, 10, 43, 86, 215, 430
517 : 1, 11, 47, 517
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,880,430,517,631, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
880:2x 2x 2x 2x 5x 11
430:2x 5x 43
517:11x 47
631:631
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 107643426809600/(1x880)
LCM = 107643426809600/880
LCM = 122322075920
Thus, we can understand that the LCM of 872,880,430,517,631 is 122322075920.
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FAQs on LCM of 872, 880, 430, 517, 631
1. What is the LCM of 872, 880, 430, 517, 631?
Answer: LCM of 872, 880, 430, 517, 631 is 122322075920.
2. How to calculate the LCM of 872, 880, 430, 517, 631?
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, 880, 430, 517, 631.
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}.