Find the LCM of 289, 426, 781, 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 289, 426, 781, 556. So, keep reading to learn more.
Given numbers are 289,426,781,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,426,781,556 is 376482612.
Find LCM of 289,426,781,556 with Prime Factorization
2 | 289, 426, 781, 556 |
71 | 289, 213, 781, 278 |
289, 3, 11, 278 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 289 x 3 x 11 x 278 = 376482612
Therefore, the lowest common multiple of 289,426,781,556 is 376482612.
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.
289 x 426 x 781 x 556 = 53460530904
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.
289 : 1, 17, 289
426 : 1, 2, 3, 6, 71, 142, 213, 426
781 : 1, 11, 71, 781
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 289,426,781,556, is 1.
Now, the common factors can be found like this.
289:17x 17
426:2x 3x 71
781:11x 71
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 71 = 142
Therefore, the value for common factors is 142.
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 = 53460530904/(1x142)
LCM = 53460530904/142
LCM = 376482612
Thus, we can understand that the LCM of 289,426,781,556 is 376482612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 426, 781, 556?
Answer: LCM of 289, 426, 781, 556 is 376482612.
2. How to calculate the LCM of 289, 426, 781, 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 289, 426, 781, 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}.