LCM of 348, 627, 867, 891, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 627, 867, 891, 905 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 348, 627, 867, 891, 905. So, keep reading to learn more.
Given numbers are 348,627,867,891,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,627,867,891,905 is 513612655380.
Find LCM of 348,627,867,891,905 with Prime Factorization
| 3 | 348, 627, 867, 891, 905 |
| 11 | 116, 209, 289, 297, 905 |
| 116, 19, 289, 27, 905 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 116 x 19 x 289 x 27 x 905 = 513612655380
Therefore, the lowest common multiple of 348,627,867,891,905 is 513612655380.
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.
348 x 627 x 867 x 891 x 905 = 152542958647860
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
627 : 1, 3, 11, 19, 33, 57, 209, 627
867 : 1, 3, 17, 51, 289, 867
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,627,867,891,905, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
627:3x 11x 19
867:3x 17x 17
891:3x 3x 3x 3x 11
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11 = 297
Therefore, the value for common factors is 297.
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 = 152542958647860/(1x297)
LCM = 152542958647860/297
LCM = 513612655380
Thus, we can understand that the LCM of 348,627,867,891,905 is 513612655380.
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FAQs on LCM of 348, 627, 867, 891, 905
1. What is the LCM of 348, 627, 867, 891, 905?
Answer: LCM of 348, 627, 867, 891, 905 is 513612655380.
2. How to calculate the LCM of 348, 627, 867, 891, 905?
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 348, 627, 867, 891, 905.
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}.