LCM of 673, 377, 321, 735, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 377, 321, 735, 351 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 673, 377, 321, 735, 351. So, keep reading to learn more.
Given numbers are 673,377,321,735,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,377,321,735,351 is 179584992405.
Find LCM of 673,377,321,735,351 with Prime Factorization
| 3 | 673, 377, 321, 735, 351 |
| 13 | 673, 377, 107, 245, 117 |
| 673, 29, 107, 245, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 673 x 29 x 107 x 245 x 9 = 179584992405
Therefore, the lowest common multiple of 673,377,321,735,351 is 179584992405.
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.
673 x 377 x 321 x 735 x 351 = 21011444111385
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.
673 : 1, 673
377 : 1, 13, 29, 377
321 : 1, 3, 107, 321
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,377,321,735,351, is 1.
Now, the common factors can be found like this.
673:673
377:13x 29
321:3x 107
735:3x 5x 7x 7
351:3x 3x 3x 13
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 13 = 117
Therefore, the value for common factors is 117.
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 = 21011444111385/(1x117)
LCM = 21011444111385/117
LCM = 179584992405
Thus, we can understand that the LCM of 673,377,321,735,351 is 179584992405.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 673, 377, 321, 735, 351
1. What is the LCM of 673, 377, 321, 735, 351?
Answer: LCM of 673, 377, 321, 735, 351 is 179584992405.
2. How to calculate the LCM of 673, 377, 321, 735, 351?
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 673, 377, 321, 735, 351.
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}.