LCM of 315, 561, 504, 315, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 561, 504, 315, 677 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, 561, 504, 315, 677. So, keep reading to learn more.
Given numbers are 315,561,504,315,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,561,504,315,677 is 319029480.
Find LCM of 315,561,504,315,677 with Prime Factorization
| 3 | 315, 561, 504, 315, 677 |
| 3 | 105, 187, 168, 105, 677 |
| 5 | 35, 187, 56, 35, 677 |
| 7 | 7, 187, 56, 7, 677 |
| 1, 187, 8, 1, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 1 x 187 x 8 x 1 x 677 = 319029480
Therefore, the lowest common multiple of 315,561,504,315,677 is 319029480.
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 561 x 504 x 315 x 677 = 18993420091800
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,561,504,315,677, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
561:3x 11x 17
504:2x 2x 2x 3x 3x 7
315:3x 3x 5x 7
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5x 7x 7 = 59535
Therefore, the value for common factors is 59535.
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 = 18993420091800/(1x59535)
LCM = 18993420091800/59535
LCM = 319029480
Thus, we can understand that the LCM of 315,561,504,315,677 is 319029480.
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FAQs on LCM of 315, 561, 504, 315, 677
1. What is the LCM of 315, 561, 504, 315, 677?
Answer: LCM of 315, 561, 504, 315, 677 is 319029480.
2. How to calculate the LCM of 315, 561, 504, 315, 677?
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, 561, 504, 315, 677.
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}.