LCM of 247, 364, 448, 294, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 364, 448, 294, 611 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 247, 364, 448, 294, 611. So, keep reading to learn more.
Given numbers are 247,364,448,294,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,364,448,294,611 is 109217472.
Find LCM of 247,364,448,294,611 with Prime Factorization
| 2 | 247, 364, 448, 294, 611 |
| 2 | 247, 182, 224, 147, 611 |
| 7 | 247, 91, 112, 147, 611 |
| 13 | 247, 13, 16, 21, 611 |
| 19, 1, 16, 21, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 19 x 1 x 16 x 21 x 47 = 109217472
Therefore, the lowest common multiple of 247,364,448,294,611 is 109217472.
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.
247 x 364 x 448 x 294 x 611 = 7235439085056
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.
247 : 1, 13, 19, 247
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,364,448,294,611, is 1.
Now, the common factors can be found like this.
247:13x 19
364:2x 2x 7x 13
448:2x 2x 2x 2x 2x 2x 7
294:2x 3x 7x 7
611:13x 47
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 7x 7x 13x 13 = 66248
Therefore, the value for common factors is 66248.
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 = 7235439085056/(1x66248)
LCM = 7235439085056/66248
LCM = 109217472
Thus, we can understand that the LCM of 247,364,448,294,611 is 109217472.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 247, 364, 448, 294, 611
1. What is the LCM of 247, 364, 448, 294, 611?
Answer: LCM of 247, 364, 448, 294, 611 is 109217472.
2. How to calculate the LCM of 247, 364, 448, 294, 611?
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 247, 364, 448, 294, 611.
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}.