LCM of 557, 409, 543, 813, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 409, 543, 813, 652 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 557, 409, 543, 813, 652. So, keep reading to learn more.
Given numbers are 557,409,543,813,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,409,543,813,652 is 21857234885628.
Find LCM of 557,409,543,813,652 with Prime Factorization
| 3 | 557, 409, 543, 813, 652 |
| 557, 409, 181, 271, 652 |
Multiply the prime numbers at the bottom and the left side.
3 x 557 x 409 x 181 x 271 x 652 = 21857234885628
Therefore, the lowest common multiple of 557,409,543,813,652 is 21857234885628.
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.
557 x 409 x 543 x 813 x 652 = 65571704656884
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.
557 : 1, 557
409 : 1, 409
543 : 1, 3, 181, 543
813 : 1, 3, 271, 813
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,409,543,813,652, is 1.
Now, the common factors can be found like this.
557:557
409:409
543:3x 181
813:3x 271
652:2x 2x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 65571704656884/(1x3)
LCM = 65571704656884/3
LCM = 21857234885628
Thus, we can understand that the LCM of 557,409,543,813,652 is 21857234885628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 409, 543, 813, 652
1. What is the LCM of 557, 409, 543, 813, 652?
Answer: LCM of 557, 409, 543, 813, 652 is 21857234885628.
2. How to calculate the LCM of 557, 409, 543, 813, 652?
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 557, 409, 543, 813, 652.
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}.