LCM of 319, 253, 377, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 253, 377, 295 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, 377, 295. So, keep reading to learn more.
Given numbers are 319,253,377,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,253,377,295 is 28137395.
Find LCM of 319,253,377,295 with Prime Factorization
| 11 | 319, 253, 377, 295 |
| 29 | 29, 23, 377, 295 |
| 1, 23, 13, 295 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 1 x 23 x 13 x 295 = 28137395
Therefore, the lowest common multiple of 319,253,377,295 is 28137395.
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 377 x 295 = 8975829005
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
377 : 1, 13, 29, 377
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,253,377,295, is 1.
Now, the common factors can be found like this.
319:11x 29
253:11x 23
377:13x 29
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 8975829005/(1x319)
LCM = 8975829005/319
LCM = 28137395
Thus, we can understand that the LCM of 319,253,377,295 is 28137395.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 319, 253, 377, 295
1. What is the LCM of 319, 253, 377, 295?
Answer: LCM of 319, 253, 377, 295 is 28137395.
2. How to calculate the LCM of 319, 253, 377, 295?
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, 377, 295.
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}.