LCM of 326, 764, 726, 573, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 764, 726, 573, 880 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 326, 764, 726, 573, 880. So, keep reading to learn more.
Given numbers are 326,764,726,573,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,764,726,573,880 is 904102320.
Find LCM of 326,764,726,573,880 with Prime Factorization
| 2 | 326, 764, 726, 573, 880 |
| 2 | 163, 382, 363, 573, 440 |
| 3 | 163, 191, 363, 573, 220 |
| 11 | 163, 191, 121, 191, 220 |
| 191 | 163, 191, 11, 191, 20 |
| 163, 1, 11, 1, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 191 x 163 x 1 x 11 x 1 x 20 = 904102320
Therefore, the lowest common multiple of 326,764,726,573,880 is 904102320.
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.
326 x 764 x 726 x 573 x 880 = 91176910767360
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.
326 : 1, 2, 163, 326
764 : 1, 2, 4, 191, 382, 764
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
573 : 1, 3, 191, 573
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,764,726,573,880, is 1.
Now, the common factors can be found like this.
326:2x 163
764:2x 2x 191
726:2x 3x 11x 11
573:3x 191
880:2x 2x 2x 2x 5x 11
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 11x 191 = 100848
Therefore, the value for common factors is 100848.
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 = 91176910767360/(1x100848)
LCM = 91176910767360/100848
LCM = 904102320
Thus, we can understand that the LCM of 326,764,726,573,880 is 904102320.
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FAQs on LCM of 326, 764, 726, 573, 880
1. What is the LCM of 326, 764, 726, 573, 880?
Answer: LCM of 326, 764, 726, 573, 880 is 904102320.
2. How to calculate the LCM of 326, 764, 726, 573, 880?
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 326, 764, 726, 573, 880.
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}.