LCM of 482, 748, 957, 266, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 748, 957, 266, 440 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 482, 748, 957, 266, 440. So, keep reading to learn more.
Given numbers are 482,748,957,266,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,748,957,266,440 is 20858810280.
Find LCM of 482,748,957,266,440 with Prime Factorization
| 2 | 482, 748, 957, 266, 440 |
| 2 | 241, 374, 957, 133, 220 |
| 11 | 241, 187, 957, 133, 110 |
| 241, 17, 87, 133, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 241 x 17 x 87 x 133 x 10 = 20858810280
Therefore, the lowest common multiple of 482,748,957,266,440 is 20858810280.
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.
482 x 748 x 957 x 266 x 440 = 40382656702080
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.
482 : 1, 2, 241, 482
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
957 : 1, 3, 11, 29, 33, 87, 319, 957
266 : 1, 2, 7, 14, 19, 38, 133, 266
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,748,957,266,440, is 1.
Now, the common factors can be found like this.
482:2x 241
748:2x 2x 11x 17
957:3x 11x 29
266:2x 7x 19
440:2x 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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 40382656702080/(1x1936)
LCM = 40382656702080/1936
LCM = 20858810280
Thus, we can understand that the LCM of 482,748,957,266,440 is 20858810280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 482, 748, 957, 266, 440
1. What is the LCM of 482, 748, 957, 266, 440?
Answer: LCM of 482, 748, 957, 266, 440 is 20858810280.
2. How to calculate the LCM of 482, 748, 957, 266, 440?
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 482, 748, 957, 266, 440.
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}.