LCM of 939, 364, 559, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 364, 559, 224 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, 364, 559, 224. So, keep reading to learn more.
Given numbers are 939,364,559,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,364,559,224 is 117577824.
Find LCM of 939,364,559,224 with Prime Factorization
| 2 | 939, 364, 559, 224 |
| 2 | 939, 182, 559, 112 |
| 7 | 939, 91, 559, 56 |
| 13 | 939, 13, 559, 8 |
| 939, 1, 43, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 939 x 1 x 43 x 8 = 117577824
Therefore, the lowest common multiple of 939,364,559,224 is 117577824.
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 364 x 559 x 224 = 42798327936
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
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
559 : 1, 13, 43, 559
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,364,559,224, is 1.
Now, the common factors can be found like this.
939:3x 313
364:2x 2x 7x 13
559:13x 43
224:2x 2x 2x 2x 2x 7
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 42798327936/(1x364)
LCM = 42798327936/364
LCM = 117577824
Thus, we can understand that the LCM of 939,364,559,224 is 117577824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 364, 559, 224
1. What is the LCM of 939, 364, 559, 224?
Answer: LCM of 939, 364, 559, 224 is 117577824.
2. How to calculate the LCM of 939, 364, 559, 224?
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, 364, 559, 224.
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}.