LCM of 209, 309, 448, 611, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 309, 448, 611, 627 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 209, 309, 448, 611, 627. So, keep reading to learn more.
Given numbers are 209,309,448,611,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,309,448,611,627 is 17677627968.
Find LCM of 209,309,448,611,627 with Prime Factorization
| 3 | 209, 309, 448, 611, 627 |
| 11 | 209, 103, 448, 611, 209 |
| 19 | 19, 103, 448, 611, 19 |
| 1, 103, 448, 611, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 1 x 103 x 448 x 611 x 1 = 17677627968
Therefore, the lowest common multiple of 209,309,448,611,627 is 17677627968.
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.
209 x 309 x 448 x 611 x 627 = 11083872735936
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.
209 : 1, 11, 19, 209
309 : 1, 3, 103, 309
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
611 : 1, 13, 47, 611
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,309,448,611,627, is 1.
Now, the common factors can be found like this.
209:11x 19
309:3x 103
448:2x 2x 2x 2x 2x 2x 7
611:13x 47
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 19 = 627
Therefore, the value for common factors is 627.
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 = 11083872735936/(1x627)
LCM = 11083872735936/627
LCM = 17677627968
Thus, we can understand that the LCM of 209,309,448,611,627 is 17677627968.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 309, 448, 611, 627
1. What is the LCM of 209, 309, 448, 611, 627?
Answer: LCM of 209, 309, 448, 611, 627 is 17677627968.
2. How to calculate the LCM of 209, 309, 448, 611, 627?
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 209, 309, 448, 611, 627.
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}.