LCM of 939, 567, 395, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 567, 395, 441 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, 567, 395, 441. So, keep reading to learn more.
Given numbers are 939,567,395,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,567,395,441 is 490707315.
Find LCM of 939,567,395,441 with Prime Factorization
| 3 | 939, 567, 395, 441 |
| 3 | 313, 189, 395, 147 |
| 7 | 313, 63, 395, 49 |
| 313, 9, 395, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 313 x 9 x 395 x 7 = 490707315
Therefore, the lowest common multiple of 939,567,395,441 is 490707315.
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 567 x 395 x 441 = 92743682535
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
395 : 1, 5, 79, 395
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,567,395,441, is 1.
Now, the common factors can be found like this.
939:3x 313
567:3x 3x 3x 3x 7
395:5x 79
441:3x 3x 7x 7
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 7 = 189
Therefore, the value for common factors is 189.
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 = 92743682535/(1x189)
LCM = 92743682535/189
LCM = 490707315
Thus, we can understand that the LCM of 939,567,395,441 is 490707315.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 567, 395, 441
1. What is the LCM of 939, 567, 395, 441?
Answer: LCM of 939, 567, 395, 441 is 490707315.
2. How to calculate the LCM of 939, 567, 395, 441?
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, 567, 395, 441.
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}.