LCM of 508, 338, 595, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 338, 595, 247 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 508, 338, 595, 247. So, keep reading to learn more.
Given numbers are 508,338,595,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,338,595,247 is 970556860.
Find LCM of 508,338,595,247 with Prime Factorization
| 2 | 508, 338, 595, 247 |
| 13 | 254, 169, 595, 247 |
| 254, 13, 595, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 254 x 13 x 595 x 19 = 970556860
Therefore, the lowest common multiple of 508,338,595,247 is 970556860.
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.
508 x 338 x 595 x 247 = 25234478360
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.
508 : 1, 2, 4, 127, 254, 508
338 : 1, 2, 13, 26, 169, 338
595 : 1, 5, 7, 17, 35, 85, 119, 595
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,338,595,247, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
338:2x 13x 13
595:5x 7x 17
247:13x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 25234478360/(1x26)
LCM = 25234478360/26
LCM = 970556860
Thus, we can understand that the LCM of 508,338,595,247 is 970556860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 338, 595, 247
1. What is the LCM of 508, 338, 595, 247?
Answer: LCM of 508, 338, 595, 247 is 970556860.
2. How to calculate the LCM of 508, 338, 595, 247?
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 508, 338, 595, 247.
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}.