LCM of 627, 703, 231, 548, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 703, 231, 548, 266 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 627, 703, 231, 548, 266. So, keep reading to learn more.
Given numbers are 627,703,231,548,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,703,231,548,266 is 88991364.
Find LCM of 627,703,231,548,266 with Prime Factorization
| 2 | 627, 703, 231, 548, 266 |
| 3 | 627, 703, 231, 274, 133 |
| 7 | 209, 703, 77, 274, 133 |
| 11 | 209, 703, 11, 274, 19 |
| 19 | 19, 703, 1, 274, 19 |
| 1, 37, 1, 274, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 1 x 37 x 1 x 274 x 1 = 88991364
Therefore, the lowest common multiple of 627,703,231,548,266 is 88991364.
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.
627 x 703 x 231 x 548 x 266 = 14842157670648
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
703 : 1, 19, 37, 703
231 : 1, 3, 7, 11, 21, 33, 77, 231
548 : 1, 2, 4, 137, 274, 548
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,703,231,548,266, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
703:19x 37
231:3x 7x 11
548:2x 2x 137
266:2x 7x 19
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 7x 11x 19x 19 = 166782
Therefore, the value for common factors is 166782.
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 = 14842157670648/(1x166782)
LCM = 14842157670648/166782
LCM = 88991364
Thus, we can understand that the LCM of 627,703,231,548,266 is 88991364.
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FAQs on LCM of 627, 703, 231, 548, 266
1. What is the LCM of 627, 703, 231, 548, 266?
Answer: LCM of 627, 703, 231, 548, 266 is 88991364.
2. How to calculate the LCM of 627, 703, 231, 548, 266?
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 627, 703, 231, 548, 266.
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}.