Find the LCM of 676, 338, 509, 639, 545 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, 338, 509, 639, 545. So, keep reading to learn more.
Given numbers are 676,338,509,639,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,338,509,639,545 is 119828973420.
Find LCM of 676,338,509,639,545 with Prime Factorization
2 | 676, 338, 509, 639, 545 |
13 | 338, 169, 509, 639, 545 |
13 | 26, 13, 509, 639, 545 |
2, 1, 509, 639, 545 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 2 x 1 x 509 x 639 x 545 = 119828973420
Therefore, the lowest common multiple of 676,338,509,639,545 is 119828973420.
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 338 x 509 x 639 x 545 = 40502193015960
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
338 : 1, 2, 13, 26, 169, 338
509 : 1, 509
639 : 1, 3, 9, 71, 213, 639
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,338,509,639,545, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
338:2x 13x 13
509:509
639:3x 3x 71
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 40502193015960/(1x338)
LCM = 40502193015960/338
LCM = 119828973420
Thus, we can understand that the LCM of 676,338,509,639,545 is 119828973420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 338, 509, 639, 545?
Answer: LCM of 676, 338, 509, 639, 545 is 119828973420.
2. How to calculate the LCM of 676, 338, 509, 639, 545?
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, 338, 509, 639, 545.
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}.