LCM of 484, 726, 957, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 726, 957, 407 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 484, 726, 957, 407. So, keep reading to learn more.
Given numbers are 484,726,957,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,726,957,407 is 1557996.
Find LCM of 484,726,957,407 with Prime Factorization
| 2 | 484, 726, 957, 407 |
| 3 | 242, 363, 957, 407 |
| 11 | 242, 121, 319, 407 |
| 11 | 22, 11, 29, 37 |
| 2, 1, 29, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 2 x 1 x 29 x 37 = 1557996
Therefore, the lowest common multiple of 484,726,957,407 is 1557996.
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.
484 x 726 x 957 x 407 = 136863716616
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
957 : 1, 3, 11, 29, 33, 87, 319, 957
407 : 1, 11, 37, 407
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,726,957,407, is 11.
Now, the common factors can be found like this.
484:2x 2x 11x 11
726:2x 3x 11x 11
957:3x 11x 29
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 11 = 7986
Therefore, the value for common factors is 7986.
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 = 136863716616/(11x7986)
LCM = 136863716616/87846
LCM = 1557996
Thus, we can understand that the LCM of 484,726,957,407 is 1557996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 726, 957, 407
1. What is the LCM of 484, 726, 957, 407?
Answer: LCM of 484, 726, 957, 407 is 1557996.
2. How to calculate the LCM of 484, 726, 957, 407?
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 484, 726, 957, 407.
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}.