LCM of 538, 616, 374, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 616, 374, 891 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 538, 616, 374, 891. So, keep reading to learn more.
Given numbers are 538,616,374,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,616,374,891 is 228174408.
Find LCM of 538,616,374,891 with Prime Factorization
| 2 | 538, 616, 374, 891 |
| 11 | 269, 308, 187, 891 |
| 269, 28, 17, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 269 x 28 x 17 x 81 = 228174408
Therefore, the lowest common multiple of 538,616,374,891 is 228174408.
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.
538 x 616 x 374 x 891 = 110436413472
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.
538 : 1, 2, 269, 538
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
374 : 1, 2, 11, 17, 22, 34, 187, 374
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,616,374,891, is 1.
Now, the common factors can be found like this.
538:2x 269
616:2x 2x 2x 7x 11
374:2x 11x 17
891:3x 3x 3x 3x 11
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 110436413472/(1x484)
LCM = 110436413472/484
LCM = 228174408
Thus, we can understand that the LCM of 538,616,374,891 is 228174408.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 616, 374, 891
1. What is the LCM of 538, 616, 374, 891?
Answer: LCM of 538, 616, 374, 891 is 228174408.
2. How to calculate the LCM of 538, 616, 374, 891?
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 538, 616, 374, 891.
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}.