LCM of 315, 611, 329, 491
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 611, 329, 491 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 315, 611, 329, 491. So, keep reading to learn more.
Given numbers are 315,611,329,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,611,329,491 is 94500315.
Find LCM of 315,611,329,491 with Prime Factorization
| 7 | 315, 611, 329, 491 |
| 47 | 45, 611, 47, 491 |
| 45, 13, 1, 491 |
Multiply the prime numbers at the bottom and the left side.
7 x 47 x 45 x 13 x 1 x 491 = 94500315
Therefore, the lowest common multiple of 315,611,329,491 is 94500315.
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.
315 x 611 x 329 x 491 = 31090603635
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
611 : 1, 13, 47, 611
329 : 1, 7, 47, 329
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,611,329,491, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
611:13x 47
329:7x 47
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 47 = 329
Therefore, the value for common factors is 329.
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 = 31090603635/(1x329)
LCM = 31090603635/329
LCM = 94500315
Thus, we can understand that the LCM of 315,611,329,491 is 94500315.
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FAQs on LCM of 315, 611, 329, 491
1. What is the LCM of 315, 611, 329, 491?
Answer: LCM of 315, 611, 329, 491 is 94500315.
2. How to calculate the LCM of 315, 611, 329, 491?
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 315, 611, 329, 491.
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}.