LCM of 939, 396, 993, 118, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 396, 993, 118, 533 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, 396, 993, 118, 533. So, keep reading to learn more.
Given numbers are 939,396,993,118,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,396,993,118,533 is 1290169402236.
Find LCM of 939,396,993,118,533 with Prime Factorization
| 2 | 939, 396, 993, 118, 533 |
| 3 | 939, 198, 993, 59, 533 |
| 313, 66, 331, 59, 533 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 313 x 66 x 331 x 59 x 533 = 1290169402236
Therefore, the lowest common multiple of 939,396,993,118,533 is 1290169402236.
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 396 x 993 x 118 x 533 = 23223049240248
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
993 : 1, 3, 331, 993
118 : 1, 2, 59, 118
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,396,993,118,533, is 1.
Now, the common factors can be found like this.
939:3x 313
396:2x 2x 3x 3x 11
993:3x 331
118:2x 59
533:13x 41
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 = 23223049240248/(1x18)
LCM = 23223049240248/18
LCM = 1290169402236
Thus, we can understand that the LCM of 939,396,993,118,533 is 1290169402236.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 396, 993, 118, 533
1. What is the LCM of 939, 396, 993, 118, 533?
Answer: LCM of 939, 396, 993, 118, 533 is 1290169402236.
2. How to calculate the LCM of 939, 396, 993, 118, 533?
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, 396, 993, 118, 533.
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}.