LCM of 654, 574, 261, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 574, 261, 697 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 654, 574, 261, 697. So, keep reading to learn more.
Given numbers are 654,574,261,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,574,261,697 is 277605342.
Find LCM of 654,574,261,697 with Prime Factorization
| 2 | 654, 574, 261, 697 |
| 3 | 327, 287, 261, 697 |
| 41 | 109, 287, 87, 697 |
| 109, 7, 87, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 109 x 7 x 87 x 17 = 277605342
Therefore, the lowest common multiple of 654,574,261,697 is 277605342.
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.
654 x 574 x 261 x 697 = 68290914132
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
574 : 1, 2, 7, 14, 41, 82, 287, 574
261 : 1, 3, 9, 29, 87, 261
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,574,261,697, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
574:2x 7x 41
261:3x 3x 29
697:17x 41
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 41 = 246
Therefore, the value for common factors is 246.
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 = 68290914132/(1x246)
LCM = 68290914132/246
LCM = 277605342
Thus, we can understand that the LCM of 654,574,261,697 is 277605342.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 654, 574, 261, 697
1. What is the LCM of 654, 574, 261, 697?
Answer: LCM of 654, 574, 261, 697 is 277605342.
2. How to calculate the LCM of 654, 574, 261, 697?
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 654, 574, 261, 697.
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}.