LCM of 844, 472, 552, 851, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 472, 552, 851, 727 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 844, 472, 552, 851, 727. So, keep reading to learn more.
Given numbers are 844,472,552,851,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,472,552,851,727 is 184845839352.
Find LCM of 844,472,552,851,727 with Prime Factorization
| 2 | 844, 472, 552, 851, 727 |
| 2 | 422, 236, 276, 851, 727 |
| 2 | 211, 118, 138, 851, 727 |
| 23 | 211, 59, 69, 851, 727 |
| 211, 59, 3, 37, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 211 x 59 x 3 x 37 x 727 = 184845839352
Therefore, the lowest common multiple of 844,472,552,851,727 is 184845839352.
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.
844 x 472 x 552 x 851 x 727 = 136046537763072
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.
844 : 1, 2, 4, 211, 422, 844
472 : 1, 2, 4, 8, 59, 118, 236, 472
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
851 : 1, 23, 37, 851
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,472,552,851,727, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
472:2x 2x 2x 59
552:2x 2x 2x 3x 23
851:23x 37
727:727
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 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 136046537763072/(1x736)
LCM = 136046537763072/736
LCM = 184845839352
Thus, we can understand that the LCM of 844,472,552,851,727 is 184845839352.
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FAQs on LCM of 844, 472, 552, 851, 727
1. What is the LCM of 844, 472, 552, 851, 727?
Answer: LCM of 844, 472, 552, 851, 727 is 184845839352.
2. How to calculate the LCM of 844, 472, 552, 851, 727?
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 844, 472, 552, 851, 727.
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}.