LCM of 337, 238, 799, 257, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 238, 799, 257, 825 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 337, 238, 799, 257, 825. So, keep reading to learn more.
Given numbers are 337,238,799,257,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,238,799,257,825 is 799266826050.
Find LCM of 337,238,799,257,825 with Prime Factorization
| 17 | 337, 238, 799, 257, 825 |
| 337, 14, 47, 257, 825 |
Multiply the prime numbers at the bottom and the left side.
17 x 337 x 14 x 47 x 257 x 825 = 799266826050
Therefore, the lowest common multiple of 337,238,799,257,825 is 799266826050.
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.
337 x 238 x 799 x 257 x 825 = 13587536042850
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.
337 : 1, 337
238 : 1, 2, 7, 14, 17, 34, 119, 238
799 : 1, 17, 47, 799
257 : 1, 257
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,238,799,257,825, is 1.
Now, the common factors can be found like this.
337:337
238:2x 7x 17
799:17x 47
257:257
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 13587536042850/(1x17)
LCM = 13587536042850/17
LCM = 799266826050
Thus, we can understand that the LCM of 337,238,799,257,825 is 799266826050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 238, 799, 257, 825
1. What is the LCM of 337, 238, 799, 257, 825?
Answer: LCM of 337, 238, 799, 257, 825 is 799266826050.
2. How to calculate the LCM of 337, 238, 799, 257, 825?
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 337, 238, 799, 257, 825.
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}.