LCM of 737, 363, 418, 748, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 363, 418, 748, 561 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 737, 363, 418, 748, 561. So, keep reading to learn more.
Given numbers are 737,363,418,748,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,363,418,748,561 is 31422732.
Find LCM of 737,363,418,748,561 with Prime Factorization
| 2 | 737, 363, 418, 748, 561 |
| 3 | 737, 363, 209, 374, 561 |
| 11 | 737, 121, 209, 374, 187 |
| 17 | 67, 11, 19, 34, 17 |
| 67, 11, 19, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 67 x 11 x 19 x 2 x 1 = 31422732
Therefore, the lowest common multiple of 737,363,418,748,561 is 31422732.
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.
737 x 363 x 418 x 748 x 561 = 46926142359624
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.
737 : 1, 11, 67, 737
363 : 1, 3, 11, 33, 121, 363
418 : 1, 2, 11, 19, 22, 38, 209, 418
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
561 : 1, 3, 11, 17, 33, 51, 187, 561
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,363,418,748,561, is 11.
Now, the common factors can be found like this.
737:11x 67
363:3x 11x 11
418:2x 11x 19
748:2x 2x 11x 17
561:3x 11x 17
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 11x 17 = 135762
Therefore, the value for common factors is 135762.
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 = 46926142359624/(11x135762)
LCM = 46926142359624/1493382
LCM = 31422732
Thus, we can understand that the LCM of 737,363,418,748,561 is 31422732.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 737, 363, 418, 748, 561
1. What is the LCM of 737, 363, 418, 748, 561?
Answer: LCM of 737, 363, 418, 748, 561 is 31422732.
2. How to calculate the LCM of 737, 363, 418, 748, 561?
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 737, 363, 418, 748, 561.
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}.