Find the LCM of 676, 838, 428, 546 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 676, 838, 428, 546. So, keep reading to learn more.
Given numbers are 676,838,428,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,838,428,546 is 636449268.
Find LCM of 676,838,428,546 with Prime Factorization
2 | 676, 838, 428, 546 |
2 | 338, 419, 214, 273 |
13 | 169, 419, 107, 273 |
13, 419, 107, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 419 x 107 x 21 = 636449268
Therefore, the lowest common multiple of 676,838,428,546 is 636449268.
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.
676 x 838 x 428 x 546 = 132381447744
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
838 : 1, 2, 419, 838
428 : 1, 2, 4, 107, 214, 428
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,838,428,546, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
838:2x 419
428:2x 2x 107
546:2x 3x 7x 13
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 132381447744/(2x104)
LCM = 132381447744/208
LCM = 636449268
Thus, we can understand that the LCM of 676,838,428,546 is 636449268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 838, 428, 546?
Answer: LCM of 676, 838, 428, 546 is 636449268.
2. How to calculate the LCM of 676, 838, 428, 546?
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 676, 838, 428, 546.
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}.