LCM of 399, 698, 978, 403, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 698, 978, 403, 242 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 399, 698, 978, 403, 242. So, keep reading to learn more.
Given numbers are 399,698,978,403,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,698,978,403,242 is 2213636663238.
Find LCM of 399,698,978,403,242 with Prime Factorization
| 2 | 399, 698, 978, 403, 242 |
| 3 | 399, 349, 489, 403, 121 |
| 133, 349, 163, 403, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 133 x 349 x 163 x 403 x 121 = 2213636663238
Therefore, the lowest common multiple of 399,698,978,403,242 is 2213636663238.
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.
399 x 698 x 978 x 403 x 242 = 26563639958856
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
698 : 1, 2, 349, 698
978 : 1, 2, 3, 6, 163, 326, 489, 978
403 : 1, 13, 31, 403
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,698,978,403,242, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
698:2x 349
978:2x 3x 163
403:13x 31
242:2x 11x 11
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 3 = 12
Therefore, the value for common factors is 12.
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 = 26563639958856/(1x12)
LCM = 26563639958856/12
LCM = 2213636663238
Thus, we can understand that the LCM of 399,698,978,403,242 is 2213636663238.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 399, 698, 978, 403, 242
1. What is the LCM of 399, 698, 978, 403, 242?
Answer: LCM of 399, 698, 978, 403, 242 is 2213636663238.
2. How to calculate the LCM of 399, 698, 978, 403, 242?
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 399, 698, 978, 403, 242.
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}.