LCM of 352, 507, 934, 195, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 507, 934, 195, 737 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 352, 507, 934, 195, 737. So, keep reading to learn more.
Given numbers are 352,507,934,195,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,507,934,195,737 is 27919800480.
Find LCM of 352,507,934,195,737 with Prime Factorization
| 2 | 352, 507, 934, 195, 737 |
| 3 | 176, 507, 467, 195, 737 |
| 11 | 176, 169, 467, 65, 737 |
| 13 | 16, 169, 467, 65, 67 |
| 16, 13, 467, 5, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 16 x 13 x 467 x 5 x 67 = 27919800480
Therefore, the lowest common multiple of 352,507,934,195,737 is 27919800480.
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.
352 x 507 x 934 x 195 x 737 = 23955188811840
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
507 : 1, 3, 13, 39, 169, 507
934 : 1, 2, 467, 934
195 : 1, 3, 5, 13, 15, 39, 65, 195
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,507,934,195,737, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
507:3x 13x 13
934:2x 467
195:3x 5x 13
737:11x 67
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 13 = 858
Therefore, the value for common factors is 858.
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 = 23955188811840/(1x858)
LCM = 23955188811840/858
LCM = 27919800480
Thus, we can understand that the LCM of 352,507,934,195,737 is 27919800480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 352, 507, 934, 195, 737
1. What is the LCM of 352, 507, 934, 195, 737?
Answer: LCM of 352, 507, 934, 195, 737 is 27919800480.
2. How to calculate the LCM of 352, 507, 934, 195, 737?
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 352, 507, 934, 195, 737.
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}.