LCM of 486, 921, 721, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 921, 721, 974 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 486, 921, 721, 974. So, keep reading to learn more.
Given numbers are 486,921,721,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,921,721,974 is 52388850654.
Find LCM of 486,921,721,974 with Prime Factorization
| 2 | 486, 921, 721, 974 |
| 3 | 243, 921, 721, 487 |
| 81, 307, 721, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 81 x 307 x 721 x 487 = 52388850654
Therefore, the lowest common multiple of 486,921,721,974 is 52388850654.
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.
486 x 921 x 721 x 974 = 314333103924
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
921 : 1, 3, 307, 921
721 : 1, 7, 103, 721
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,921,721,974, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
921:3x 307
721:7x 103
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 314333103924/(1x6)
LCM = 314333103924/6
LCM = 52388850654
Thus, we can understand that the LCM of 486,921,721,974 is 52388850654.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 486, 921, 721, 974
1. What is the LCM of 486, 921, 721, 974?
Answer: LCM of 486, 921, 721, 974 is 52388850654.
2. How to calculate the LCM of 486, 921, 721, 974?
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 486, 921, 721, 974.
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}.