LCM of 627, 517, 657, 504, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 517, 657, 504, 561 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 627, 517, 657, 504, 561. So, keep reading to learn more.
Given numbers are 627,517,657,504,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,517,657,504,561 is 6143932872.
Find LCM of 627,517,657,504,561 with Prime Factorization
| 3 | 627, 517, 657, 504, 561 |
| 3 | 209, 517, 219, 168, 187 |
| 11 | 209, 517, 73, 56, 187 |
| 19, 47, 73, 56, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 19 x 47 x 73 x 56 x 17 = 6143932872
Therefore, the lowest common multiple of 627,517,657,504,561 is 6143932872.
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.
627 x 517 x 657 x 504 x 561 = 60216686078472
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
517 : 1, 11, 47, 517
657 : 1, 3, 9, 73, 219, 657
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,517,657,504,561, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
517:11x 47
657:3x 3x 73
504:2x 2x 2x 3x 3x 7
561:3x 11x 17
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 11x 11 = 9801
Therefore, the value for common factors is 9801.
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 = 60216686078472/(1x9801)
LCM = 60216686078472/9801
LCM = 6143932872
Thus, we can understand that the LCM of 627,517,657,504,561 is 6143932872.
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FAQs on LCM of 627, 517, 657, 504, 561
1. What is the LCM of 627, 517, 657, 504, 561?
Answer: LCM of 627, 517, 657, 504, 561 is 6143932872.
2. How to calculate the LCM of 627, 517, 657, 504, 561?
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 627, 517, 657, 504, 561.
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}.