Find the LCM of 487, 705, 416, 752 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 487, 705, 416, 752. So, keep reading to learn more.
Given numbers are 487,705,416,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,705,416,752 is 142827360.
Find LCM of 487,705,416,752 with Prime Factorization
2 | 487, 705, 416, 752 |
2 | 487, 705, 208, 376 |
2 | 487, 705, 104, 188 |
2 | 487, 705, 52, 94 |
47 | 487, 705, 26, 47 |
487, 15, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 47 x 487 x 15 x 26 x 1 = 142827360
Therefore, the lowest common multiple of 487,705,416,752 is 142827360.
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.
487 x 705 x 416 x 752 = 107406174720
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.
487 : 1, 487
705 : 1, 3, 5, 15, 47, 141, 235, 705
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,705,416,752, is 1.
Now, the common factors can be found like this.
487:487
705:3x 5x 47
416:2x 2x 2x 2x 2x 13
752:2x 2x 2x 2x 47
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 47 = 752
Therefore, the value for common factors is 752.
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 = 107406174720/(1x752)
LCM = 107406174720/752
LCM = 142827360
Thus, we can understand that the LCM of 487,705,416,752 is 142827360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 705, 416, 752?
Answer: LCM of 487, 705, 416, 752 is 142827360.
2. How to calculate the LCM of 487, 705, 416, 752?
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 487, 705, 416, 752.
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}.