Find the LCM of 676, 514, 300, 360 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, 514, 300, 360. So, keep reading to learn more.
Given numbers are 676,514,300,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,514,300,360 is 78179400.
Find LCM of 676,514,300,360 with Prime Factorization
2 | 676, 514, 300, 360 |
2 | 338, 257, 150, 180 |
3 | 169, 257, 75, 90 |
5 | 169, 257, 25, 30 |
169, 257, 5, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 169 x 257 x 5 x 6 = 78179400
Therefore, the lowest common multiple of 676,514,300,360 is 78179400.
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 514 x 300 x 360 = 37526112000
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
514 : 1, 2, 257, 514
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,514,300,360, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
514:2x 257
300:2x 2x 3x 5x 5
360:2x 2x 2x 3x 3x 5
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 37526112000/(2x240)
LCM = 37526112000/480
LCM = 78179400
Thus, we can understand that the LCM of 676,514,300,360 is 78179400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 514, 300, 360?
Answer: LCM of 676, 514, 300, 360 is 78179400.
2. How to calculate the LCM of 676, 514, 300, 360?
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, 514, 300, 360.
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}.