LCM of 319, 253, 245, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 253, 245, 385 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 319, 253, 245, 385. So, keep reading to learn more.
Given numbers are 319,253,245,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,253,245,385 is 1797565.
Find LCM of 319,253,245,385 with Prime Factorization
| 5 | 319, 253, 245, 385 |
| 7 | 319, 253, 49, 77 |
| 11 | 319, 253, 7, 11 |
| 29, 23, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 29 x 23 x 7 x 1 = 1797565
Therefore, the lowest common multiple of 319,253,245,385 is 1797565.
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.
319 x 253 x 245 x 385 = 7612687775
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.
319 : 1, 11, 29, 319
253 : 1, 11, 23, 253
245 : 1, 5, 7, 35, 49, 245
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,253,245,385, is 1.
Now, the common factors can be found like this.
319:11x 29
253:11x 23
245:5x 7x 7
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11x 11 = 4235
Therefore, the value for common factors is 4235.
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 = 7612687775/(1x4235)
LCM = 7612687775/4235
LCM = 1797565
Thus, we can understand that the LCM of 319,253,245,385 is 1797565.
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FAQs on LCM of 319, 253, 245, 385
1. What is the LCM of 319, 253, 245, 385?
Answer: LCM of 319, 253, 245, 385 is 1797565.
2. How to calculate the LCM of 319, 253, 245, 385?
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 319, 253, 245, 385.
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}.