Find the LCM of 635, 550, 675, 486 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 635, 550, 675, 486. So, keep reading to learn more.
Given numbers are 635,550,675,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,550,675,486 is 16973550.
Find LCM of 635,550,675,486 with Prime Factorization
2 | 635, 550, 675, 486 |
3 | 635, 275, 675, 243 |
3 | 635, 275, 225, 81 |
3 | 635, 275, 75, 27 |
5 | 635, 275, 25, 9 |
5 | 127, 55, 5, 9 |
127, 11, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 5 x 127 x 11 x 1 x 9 = 16973550
Therefore, the lowest common multiple of 635,550,675,486 is 16973550.
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.
635 x 550 x 675 x 486 = 114571462500
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.
635 : 1, 5, 127, 635
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,550,675,486, is 1.
Now, the common factors can be found like this.
635:5x 127
550:2x 5x 5x 11
675:3x 3x 3x 5x 5
486:2x 3x 3x 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 3x 3x 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 114571462500/(1x6750)
LCM = 114571462500/6750
LCM = 16973550
Thus, we can understand that the LCM of 635,550,675,486 is 16973550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 550, 675, 486?
Answer: LCM of 635, 550, 675, 486 is 16973550.
2. How to calculate the LCM of 635, 550, 675, 486?
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 635, 550, 675, 486.
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}.