Find the LCM of 497, 689, 461, 212, 888 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 497, 689, 461, 212, 888. So, keep reading to learn more.
Given numbers are 497,689,461,212,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,689,461,212,888 is 140181112344.
Find LCM of 497,689,461,212,888 with Prime Factorization
2 | 497, 689, 461, 212, 888 |
2 | 497, 689, 461, 106, 444 |
53 | 497, 689, 461, 53, 222 |
497, 13, 461, 1, 222 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 497 x 13 x 461 x 1 x 222 = 140181112344
Therefore, the lowest common multiple of 497,689,461,212,888 is 140181112344.
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.
497 x 689 x 461 x 212 x 888 = 29718395816928
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.
497 : 1, 7, 71, 497
689 : 1, 13, 53, 689
461 : 1, 461
212 : 1, 2, 4, 53, 106, 212
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,689,461,212,888, is 1.
Now, the common factors can be found like this.
497:7x 71
689:13x 53
461:461
212:2x 2x 53
888:2x 2x 2x 3x 37
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 53 = 212
Therefore, the value for common factors is 212.
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 = 29718395816928/(1x212)
LCM = 29718395816928/212
LCM = 140181112344
Thus, we can understand that the LCM of 497,689,461,212,888 is 140181112344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 689, 461, 212, 888?
Answer: LCM of 497, 689, 461, 212, 888 is 140181112344.
2. How to calculate the LCM of 497, 689, 461, 212, 888?
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 497, 689, 461, 212, 888.
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}.