Find the LCM of 825, 962, 482, 345, 748 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 825, 962, 482, 345, 748. So, keep reading to learn more.
Given numbers are 825,962,482,345,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,962,482,345,748 is 149572866300.
Find LCM of 825,962,482,345,748 with Prime Factorization
2 | 825, 962, 482, 345, 748 |
3 | 825, 481, 241, 345, 374 |
5 | 275, 481, 241, 115, 374 |
11 | 55, 481, 241, 23, 374 |
5, 481, 241, 23, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 5 x 481 x 241 x 23 x 34 = 149572866300
Therefore, the lowest common multiple of 825,962,482,345,748 is 149572866300.
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.
825 x 962 x 482 x 345 x 748 = 98718091758000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
962 : 1, 2, 13, 26, 37, 74, 481, 962
482 : 1, 2, 241, 482
345 : 1, 3, 5, 15, 23, 69, 115, 345
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,962,482,345,748, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
962:2x 13x 37
482:2x 241
345:3x 5x 23
748:2x 2x 11x 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 3x 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 98718091758000/(1x660)
LCM = 98718091758000/660
LCM = 149572866300
Thus, we can understand that the LCM of 825,962,482,345,748 is 149572866300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 962, 482, 345, 748?
Answer: LCM of 825, 962, 482, 345, 748 is 149572866300.
2. How to calculate the LCM of 825, 962, 482, 345, 748?
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 825, 962, 482, 345, 748.
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}.