LCM of 477, 548, 682, 627, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 548, 682, 627, 108 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 477, 548, 682, 627, 108. So, keep reading to learn more.
Given numbers are 477,548,682,627,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,548,682,627,108 is 5080754052.
Find LCM of 477,548,682,627,108 with Prime Factorization
| 2 | 477, 548, 682, 627, 108 |
| 2 | 477, 274, 341, 627, 54 |
| 3 | 477, 137, 341, 627, 27 |
| 3 | 159, 137, 341, 209, 9 |
| 11 | 53, 137, 341, 209, 3 |
| 53, 137, 31, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 53 x 137 x 31 x 19 x 3 = 5080754052
Therefore, the lowest common multiple of 477,548,682,627,108 is 5080754052.
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.
477 x 548 x 682 x 627 x 108 = 12071871627552
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.
477 : 1, 3, 9, 53, 159, 477
548 : 1, 2, 4, 137, 274, 548
682 : 1, 2, 11, 22, 31, 62, 341, 682
627 : 1, 3, 11, 19, 33, 57, 209, 627
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,548,682,627,108, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
548:2x 2x 137
682:2x 11x 31
627:3x 11x 19
108:2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 12071871627552/(1x2376)
LCM = 12071871627552/2376
LCM = 5080754052
Thus, we can understand that the LCM of 477,548,682,627,108 is 5080754052.
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FAQs on LCM of 477, 548, 682, 627, 108
1. What is the LCM of 477, 548, 682, 627, 108?
Answer: LCM of 477, 548, 682, 627, 108 is 5080754052.
2. How to calculate the LCM of 477, 548, 682, 627, 108?
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 477, 548, 682, 627, 108.
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}.