LCM of 591, 702, 663, 627, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 702, 663, 627, 723 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 591, 702, 663, 627, 723. So, keep reading to learn more.
Given numbers are 591,702,663,627,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,702,663,627,723 is 118417418262.
Find LCM of 591,702,663,627,723 with Prime Factorization
| 3 | 591, 702, 663, 627, 723 |
| 13 | 197, 234, 221, 209, 241 |
| 197, 18, 17, 209, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 197 x 18 x 17 x 209 x 241 = 118417418262
Therefore, the lowest common multiple of 591,702,663,627,723 is 118417418262.
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.
591 x 702 x 663 x 627 x 723 = 124693541429886
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.
591 : 1, 3, 197, 591
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
663 : 1, 3, 13, 17, 39, 51, 221, 663
627 : 1, 3, 11, 19, 33, 57, 209, 627
723 : 1, 3, 241, 723
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,702,663,627,723, is 3.
Now, the common factors can be found like this.
591:3x 197
702:2x 3x 3x 3x 13
663:3x 13x 17
627:3x 11x 19
723:3x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 124693541429886/(3x351)
LCM = 124693541429886/1053
LCM = 118417418262
Thus, we can understand that the LCM of 591,702,663,627,723 is 118417418262.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 702, 663, 627, 723
1. What is the LCM of 591, 702, 663, 627, 723?
Answer: LCM of 591, 702, 663, 627, 723 is 118417418262.
2. How to calculate the LCM of 591, 702, 663, 627, 723?
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 591, 702, 663, 627, 723.
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}.