LCM of 548, 789, 724, 972, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 789, 724, 972, 899 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 548, 789, 724, 972, 899. So, keep reading to learn more.
Given numbers are 548,789,724,972,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,789,724,972,899 is 5698766296908.
Find LCM of 548,789,724,972,899 with Prime Factorization
| 2 | 548, 789, 724, 972, 899 |
| 2 | 274, 789, 362, 486, 899 |
| 3 | 137, 789, 181, 243, 899 |
| 137, 263, 181, 81, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 263 x 181 x 81 x 899 = 5698766296908
Therefore, the lowest common multiple of 548,789,724,972,899 is 5698766296908.
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.
548 x 789 x 724 x 972 x 899 = 273540782251584
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.
548 : 1, 2, 4, 137, 274, 548
789 : 1, 3, 263, 789
724 : 1, 2, 4, 181, 362, 724
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,789,724,972,899, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
789:3x 263
724:2x 2x 181
972:2x 2x 3x 3x 3x 3x 3
899:29x 31
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 3 = 48
Therefore, the value for common factors is 48.
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 = 273540782251584/(1x48)
LCM = 273540782251584/48
LCM = 5698766296908
Thus, we can understand that the LCM of 548,789,724,972,899 is 5698766296908.
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FAQs on LCM of 548, 789, 724, 972, 899
1. What is the LCM of 548, 789, 724, 972, 899?
Answer: LCM of 548, 789, 724, 972, 899 is 5698766296908.
2. How to calculate the LCM of 548, 789, 724, 972, 899?
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 548, 789, 724, 972, 899.
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}.