Find the LCM of 588, 252, 443, 305, 680 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 588, 252, 443, 305, 680. So, keep reading to learn more.
Given numbers are 588,252,443,305,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,252,443,305,680 is 8103657240.
Find LCM of 588,252,443,305,680 with Prime Factorization
2 | 588, 252, 443, 305, 680 |
2 | 294, 126, 443, 305, 340 |
3 | 147, 63, 443, 305, 170 |
5 | 49, 21, 443, 305, 170 |
7 | 49, 21, 443, 61, 34 |
7, 3, 443, 61, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 3 x 443 x 61 x 34 = 8103657240
Therefore, the lowest common multiple of 588,252,443,305,680 is 8103657240.
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.
588 x 252 x 443 x 305 x 680 = 13614144163200
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
443 : 1, 443
305 : 1, 5, 61, 305
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,252,443,305,680, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
252:2x 2x 3x 3x 7
443:443
305:5x 61
680:2x 2x 2x 5x 17
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 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 13614144163200/(1x1680)
LCM = 13614144163200/1680
LCM = 8103657240
Thus, we can understand that the LCM of 588,252,443,305,680 is 8103657240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 252, 443, 305, 680?
Answer: LCM of 588, 252, 443, 305, 680 is 8103657240.
2. How to calculate the LCM of 588, 252, 443, 305, 680?
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 588, 252, 443, 305, 680.
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}.