Find the LCM of 881, 825, 321, 312, 617 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 881, 825, 321, 312, 617. So, keep reading to learn more.
Given numbers are 881,825,321,312,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,825,321,312,617 is 4990363006200.
Find LCM of 881,825,321,312,617 with Prime Factorization
3 | 881, 825, 321, 312, 617 |
881, 275, 107, 104, 617 |
Multiply the prime numbers at the bottom and the left side.
3 x 881 x 275 x 107 x 104 x 617 = 4990363006200
Therefore, the lowest common multiple of 881,825,321,312,617 is 4990363006200.
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.
881 x 825 x 321 x 312 x 617 = 44913267055800
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.
881 : 1, 881
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
321 : 1, 3, 107, 321
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,825,321,312,617, is 1.
Now, the common factors can be found like this.
881:881
825:3x 5x 5x 11
321:3x 107
312:2x 2x 2x 3x 13
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 44913267055800/(1x9)
LCM = 44913267055800/9
LCM = 4990363006200
Thus, we can understand that the LCM of 881,825,321,312,617 is 4990363006200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 881, 825, 321, 312, 617?
Answer: LCM of 881, 825, 321, 312, 617 is 4990363006200.
2. How to calculate the LCM of 881, 825, 321, 312, 617?
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 881, 825, 321, 312, 617.
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}.