Find the LCM of 890, 373, 260, 726, 583 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 890, 373, 260, 726, 583. So, keep reading to learn more.
Given numbers are 890,373,260,726,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,373,260,726,583 is 166056041580.
Find LCM of 890,373,260,726,583 with Prime Factorization
2 | 890, 373, 260, 726, 583 |
5 | 445, 373, 130, 363, 583 |
11 | 89, 373, 26, 363, 583 |
89, 373, 26, 33, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 89 x 373 x 26 x 33 x 53 = 166056041580
Therefore, the lowest common multiple of 890,373,260,726,583 is 166056041580.
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.
890 x 373 x 260 x 726 x 583 = 36532329147600
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
373 : 1, 373
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,373,260,726,583, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
373:373
260:2x 2x 5x 13
726:2x 3x 11x 11
583:11x 53
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 36532329147600/(1x220)
LCM = 36532329147600/220
LCM = 166056041580
Thus, we can understand that the LCM of 890,373,260,726,583 is 166056041580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 890, 373, 260, 726, 583?
Answer: LCM of 890, 373, 260, 726, 583 is 166056041580.
2. How to calculate the LCM of 890, 373, 260, 726, 583?
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 890, 373, 260, 726, 583.
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}.