Find the LCM of 609, 406, 536, 614 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 609, 406, 536, 614. So, keep reading to learn more.
Given numbers are 609,406,536,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,406,536,614 is 100212168.
Find LCM of 609,406,536,614 with Prime Factorization
2 | 609, 406, 536, 614 |
7 | 609, 203, 268, 307 |
29 | 87, 29, 268, 307 |
3, 1, 268, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 3 x 1 x 268 x 307 = 100212168
Therefore, the lowest common multiple of 609,406,536,614 is 100212168.
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.
609 x 406 x 536 x 614 = 81372280416
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
406 : 1, 2, 7, 14, 29, 58, 203, 406
536 : 1, 2, 4, 8, 67, 134, 268, 536
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,406,536,614, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
406:2x 7x 29
536:2x 2x 2x 67
614:2x 307
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 7x 29 = 812
Therefore, the value for common factors is 812.
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 = 81372280416/(1x812)
LCM = 81372280416/812
LCM = 100212168
Thus, we can understand that the LCM of 609,406,536,614 is 100212168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 406, 536, 614?
Answer: LCM of 609, 406, 536, 614 is 100212168.
2. How to calculate the LCM of 609, 406, 536, 614?
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 609, 406, 536, 614.
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}.