LCM of 405, 465, 981, 373
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 465, 981, 373 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 405, 465, 981, 373. So, keep reading to learn more.
Given numbers are 405,465,981,373
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,465,981,373 is 510448635.
Find LCM of 405,465,981,373 with Prime Factorization
| 3 | 405, 465, 981, 373 |
| 3 | 135, 155, 327, 373 |
| 5 | 45, 155, 109, 373 |
| 9, 31, 109, 373 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 9 x 31 x 109 x 373 = 510448635
Therefore, the lowest common multiple of 405,465,981,373 is 510448635.
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.
405 x 465 x 981 x 373 = 68910565725
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
465 : 1, 3, 5, 15, 31, 93, 155, 465
981 : 1, 3, 9, 109, 327, 981
373 : 1, 373
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,465,981,373, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
465:3x 5x 31
981:3x 3x 109
373:373
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 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 68910565725/(1x135)
LCM = 68910565725/135
LCM = 510448635
Thus, we can understand that the LCM of 405,465,981,373 is 510448635.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 465, 981, 373
1. What is the LCM of 405, 465, 981, 373?
Answer: LCM of 405, 465, 981, 373 is 510448635.
2. How to calculate the LCM of 405, 465, 981, 373?
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 405, 465, 981, 373.
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}.