LCM of 517, 737, 885, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 737, 885, 354 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 517, 737, 885, 354. So, keep reading to learn more.
Given numbers are 517,737,885,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,737,885,354 is 61311030.
Find LCM of 517,737,885,354 with Prime Factorization
| 3 | 517, 737, 885, 354 |
| 11 | 517, 737, 295, 118 |
| 59 | 47, 67, 295, 118 |
| 47, 67, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 59 x 47 x 67 x 5 x 2 = 61311030
Therefore, the lowest common multiple of 517,737,885,354 is 61311030.
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.
517 x 737 x 885 x 354 = 119372575410
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.
517 : 1, 11, 47, 517
737 : 1, 11, 67, 737
885 : 1, 3, 5, 15, 59, 177, 295, 885
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,737,885,354, is 1.
Now, the common factors can be found like this.
517:11x 47
737:11x 67
885:3x 5x 59
354:2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 59 = 1947
Therefore, the value for common factors is 1947.
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 = 119372575410/(1x1947)
LCM = 119372575410/1947
LCM = 61311030
Thus, we can understand that the LCM of 517,737,885,354 is 61311030.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 517, 737, 885, 354
1. What is the LCM of 517, 737, 885, 354?
Answer: LCM of 517, 737, 885, 354 is 61311030.
2. How to calculate the LCM of 517, 737, 885, 354?
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 517, 737, 885, 354.
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}.