LCM of 927, 627, 289, 418, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 627, 289, 418, 438 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 927, 627, 289, 418, 438. So, keep reading to learn more.
Given numbers are 927,627,289,418,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,627,289,418,438 is 8174792142.
Find LCM of 927,627,289,418,438 with Prime Factorization
| 2 | 927, 627, 289, 418, 438 |
| 3 | 927, 627, 289, 209, 219 |
| 11 | 309, 209, 289, 209, 73 |
| 19 | 309, 19, 289, 19, 73 |
| 309, 1, 289, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 309 x 1 x 289 x 1 x 73 = 8174792142
Therefore, the lowest common multiple of 927,627,289,418,438 is 8174792142.
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.
927 x 627 x 289 x 418 x 438 = 30753568038204
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.
927 : 1, 3, 9, 103, 309, 927
627 : 1, 3, 11, 19, 33, 57, 209, 627
289 : 1, 17, 289
418 : 1, 2, 11, 19, 22, 38, 209, 418
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,627,289,418,438, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
627:3x 11x 19
289:17x 17
418:2x 11x 19
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 19 = 3762
Therefore, the value for common factors is 3762.
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 = 30753568038204/(1x3762)
LCM = 30753568038204/3762
LCM = 8174792142
Thus, we can understand that the LCM of 927,627,289,418,438 is 8174792142.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 927, 627, 289, 418, 438
1. What is the LCM of 927, 627, 289, 418, 438?
Answer: LCM of 927, 627, 289, 418, 438 is 8174792142.
2. How to calculate the LCM of 927, 627, 289, 418, 438?
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 927, 627, 289, 418, 438.
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}.