LCM of 348, 767, 494, 303, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 767, 494, 303, 174 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 348, 767, 494, 303, 174. So, keep reading to learn more.
Given numbers are 348,767,494,303,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,767,494,303,174 is 512211804.
Find LCM of 348,767,494,303,174 with Prime Factorization
| 2 | 348, 767, 494, 303, 174 |
| 3 | 174, 767, 247, 303, 87 |
| 13 | 58, 767, 247, 101, 29 |
| 29 | 58, 59, 19, 101, 29 |
| 2, 59, 19, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 2 x 59 x 19 x 101 x 1 = 512211804
Therefore, the lowest common multiple of 348,767,494,303,174 is 512211804.
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.
348 x 767 x 494 x 303 x 174 = 6951738603888
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
767 : 1, 13, 59, 767
494 : 1, 2, 13, 19, 26, 38, 247, 494
303 : 1, 3, 101, 303
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,767,494,303,174, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
767:13x 59
494:2x 13x 19
303:3x 101
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 13x 29 = 13572
Therefore, the value for common factors is 13572.
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 = 6951738603888/(1x13572)
LCM = 6951738603888/13572
LCM = 512211804
Thus, we can understand that the LCM of 348,767,494,303,174 is 512211804.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 348, 767, 494, 303, 174
1. What is the LCM of 348, 767, 494, 303, 174?
Answer: LCM of 348, 767, 494, 303, 174 is 512211804.
2. How to calculate the LCM of 348, 767, 494, 303, 174?
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 348, 767, 494, 303, 174.
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}.