Find the LCM of 928, 403, 280, 682, 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 928, 403, 280, 682, 748. So, keep reading to learn more.
Given numbers are 928,403,280,682,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,403,280,682,748 is 2447725280.
Find LCM of 928,403,280,682,748 with Prime Factorization
2 | 928, 403, 280, 682, 748 |
2 | 464, 403, 140, 341, 374 |
2 | 232, 403, 70, 341, 187 |
11 | 116, 403, 35, 341, 187 |
31 | 116, 403, 35, 31, 17 |
116, 13, 35, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 31 x 116 x 13 x 35 x 1 x 17 = 2447725280
Therefore, the lowest common multiple of 928,403,280,682,748 is 2447725280.
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.
928 x 403 x 280 x 682 x 748 = 53419156510720
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
403 : 1, 13, 31, 403
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
682 : 1, 2, 11, 22, 31, 62, 341, 682
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 928,403,280,682,748, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
403:13x 31
280:2x 2x 2x 5x 7
682:2x 11x 31
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 2x 2x 2x 2x 11x 31 = 21824
Therefore, the value for common factors is 21824.
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 = 53419156510720/(1x21824)
LCM = 53419156510720/21824
LCM = 2447725280
Thus, we can understand that the LCM of 928,403,280,682,748 is 2447725280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 403, 280, 682, 748?
Answer: LCM of 928, 403, 280, 682, 748 is 2447725280.
2. How to calculate the LCM of 928, 403, 280, 682, 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 928, 403, 280, 682, 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}.