LCM of 939, 264, 663, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 264, 663, 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 939, 264, 663, 242. So, keep reading to learn more.
Given numbers are 939,264,663,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,264,663,242 is 200878392.
Find LCM of 939,264,663,242 with Prime Factorization
| 2 | 939, 264, 663, 242 |
| 3 | 939, 132, 663, 121 |
| 11 | 313, 44, 221, 121 |
| 313, 4, 221, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 313 x 4 x 221 x 11 = 200878392
Therefore, the lowest common multiple of 939,264,663,242 is 200878392.
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.
939 x 264 x 663 x 242 = 39773921616
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.
939 : 1, 3, 313, 939
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
663 : 1, 3, 13, 17, 39, 51, 221, 663
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 939,264,663,242, is 1.
Now, the common factors can be found like this.
939:3x 313
264:2x 2x 2x 3x 11
663:3x 13x 17
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 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 39773921616/(1x198)
LCM = 39773921616/198
LCM = 200878392
Thus, we can understand that the LCM of 939,264,663,242 is 200878392.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 264, 663, 242
1. What is the LCM of 939, 264, 663, 242?
Answer: LCM of 939, 264, 663, 242 is 200878392.
2. How to calculate the LCM of 939, 264, 663, 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 939, 264, 663, 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}.