LCM of 296, 706, 717, 144, 625
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 706, 717, 144, 625 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 296, 706, 717, 144, 625. So, keep reading to learn more.
Given numbers are 296,706,717,144,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,706,717,144,625 is 280942110000.
Find LCM of 296,706,717,144,625 with Prime Factorization
| 2 | 296, 706, 717, 144, 625 |
| 2 | 148, 353, 717, 72, 625 |
| 2 | 74, 353, 717, 36, 625 |
| 3 | 37, 353, 717, 18, 625 |
| 37, 353, 239, 6, 625 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 353 x 239 x 6 x 625 = 280942110000
Therefore, the lowest common multiple of 296,706,717,144,625 is 280942110000.
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.
296 x 706 x 717 x 144 x 625 = 13485221280000
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
706 : 1, 2, 353, 706
717 : 1, 3, 239, 717
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,706,717,144,625, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
706:2x 353
717:3x 239
144:2x 2x 2x 2x 3x 3
625:5x 5x 5x 5
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 13485221280000/(1x48)
LCM = 13485221280000/48
LCM = 280942110000
Thus, we can understand that the LCM of 296,706,717,144,625 is 280942110000.
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FAQs on LCM of 296, 706, 717, 144, 625
1. What is the LCM of 296, 706, 717, 144, 625?
Answer: LCM of 296, 706, 717, 144, 625 is 280942110000.
2. How to calculate the LCM of 296, 706, 717, 144, 625?
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 296, 706, 717, 144, 625.
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}.