LCM of 313, 987, 313, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 987, 313, 417 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 313, 987, 313, 417. So, keep reading to learn more.
Given numbers are 313,987,313,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,987,313,417 is 42941409.
Find LCM of 313,987,313,417 with Prime Factorization
| 3 | 313, 987, 313, 417 |
| 313 | 313, 329, 313, 139 |
| 1, 329, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
3 x 313 x 1 x 329 x 1 x 139 = 42941409
Therefore, the lowest common multiple of 313,987,313,417 is 42941409.
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.
313 x 987 x 313 x 417 = 40321983051
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.
313 : 1, 313
987 : 1, 3, 7, 21, 47, 141, 329, 987
313 : 1, 313
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,987,313,417, is 1.
Now, the common factors can be found like this.
313:313
987:3x 7x 47
313:313
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 313 = 939
Therefore, the value for common factors is 939.
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 = 40321983051/(1x939)
LCM = 40321983051/939
LCM = 42941409
Thus, we can understand that the LCM of 313,987,313,417 is 42941409.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 987, 313, 417
1. What is the LCM of 313, 987, 313, 417?
Answer: LCM of 313, 987, 313, 417 is 42941409.
2. How to calculate the LCM of 313, 987, 313, 417?
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 313, 987, 313, 417.
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}.