Find the LCM of 635, 248, 614, 556 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, 248, 614, 556. So, keep reading to learn more.
Given numbers are 635,248,614,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,248,614,556 is 6720144040.
Find LCM of 635,248,614,556 with Prime Factorization
2 | 635, 248, 614, 556 |
2 | 635, 124, 307, 278 |
635, 62, 307, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 635 x 62 x 307 x 139 = 6720144040
Therefore, the lowest common multiple of 635,248,614,556 is 6720144040.
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 248 x 614 x 556 = 53761152320
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
248 : 1, 2, 4, 8, 31, 62, 124, 248
614 : 1, 2, 307, 614
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,248,614,556, is 1.
Now, the common factors can be found like this.
635:5x 127
248:2x 2x 2x 31
614:2x 307
556:2x 2x 139
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 2 = 8
Therefore, the value for common factors is 8.
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 = 53761152320/(1x8)
LCM = 53761152320/8
LCM = 6720144040
Thus, we can understand that the LCM of 635,248,614,556 is 6720144040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 248, 614, 556?
Answer: LCM of 635, 248, 614, 556 is 6720144040.
2. How to calculate the LCM of 635, 248, 614, 556?
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, 248, 614, 556.
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}.