Find the LCM of 635, 765, 652, 449, 252 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, 765, 652, 449, 252. So, keep reading to learn more.
Given numbers are 635,765,652,449,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,765,652,449,252 is 199093523580.
Find LCM of 635,765,652,449,252 with Prime Factorization
2 | 635, 765, 652, 449, 252 |
2 | 635, 765, 326, 449, 126 |
3 | 635, 765, 163, 449, 63 |
3 | 635, 255, 163, 449, 21 |
5 | 635, 85, 163, 449, 7 |
127, 17, 163, 449, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 127 x 17 x 163 x 449 x 7 = 199093523580
Therefore, the lowest common multiple of 635,765,652,449,252 is 199093523580.
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 765 x 652 x 449 x 252 = 35836834244400
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
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
652 : 1, 2, 4, 163, 326, 652
449 : 1, 449
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,765,652,449,252, is 1.
Now, the common factors can be found like this.
635:5x 127
765:3x 3x 5x 17
652:2x 2x 163
449:449
252:2x 2x 3x 3x 7
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 35836834244400/(1x180)
LCM = 35836834244400/180
LCM = 199093523580
Thus, we can understand that the LCM of 635,765,652,449,252 is 199093523580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 765, 652, 449, 252?
Answer: LCM of 635, 765, 652, 449, 252 is 199093523580.
2. How to calculate the LCM of 635, 765, 652, 449, 252?
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, 765, 652, 449, 252.
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}.