LCM of 993, 903, 578, 754, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 903, 578, 754, 339 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 993, 903, 578, 754, 339. So, keep reading to learn more.
Given numbers are 993,903,578,754,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,903,578,754,339 is 7359755320554.
Find LCM of 993,903,578,754,339 with Prime Factorization
| 2 | 993, 903, 578, 754, 339 |
| 3 | 993, 903, 289, 377, 339 |
| 331, 301, 289, 377, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 301 x 289 x 377 x 113 = 7359755320554
Therefore, the lowest common multiple of 993,903,578,754,339 is 7359755320554.
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.
993 x 903 x 578 x 754 x 339 = 132475595769972
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.
993 : 1, 3, 331, 993
903 : 1, 3, 7, 21, 43, 129, 301, 903
578 : 1, 2, 17, 34, 289, 578
754 : 1, 2, 13, 26, 29, 58, 377, 754
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,903,578,754,339, is 1.
Now, the common factors can be found like this.
993:3x 331
903:3x 7x 43
578:2x 17x 17
754:2x 13x 29
339:3x 113
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 3 = 18
Therefore, the value for common factors is 18.
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 = 132475595769972/(1x18)
LCM = 132475595769972/18
LCM = 7359755320554
Thus, we can understand that the LCM of 993,903,578,754,339 is 7359755320554.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 993, 903, 578, 754, 339
1. What is the LCM of 993, 903, 578, 754, 339?
Answer: LCM of 993, 903, 578, 754, 339 is 7359755320554.
2. How to calculate the LCM of 993, 903, 578, 754, 339?
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 993, 903, 578, 754, 339.
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}.