LCM of 332, 374, 939, 396, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 374, 939, 396, 613 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 332, 374, 939, 396, 613. So, keep reading to learn more.
Given numbers are 332,374,939,396,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,374,939,396,613 is 107207954964.
Find LCM of 332,374,939,396,613 with Prime Factorization
| 2 | 332, 374, 939, 396, 613 |
| 2 | 166, 187, 939, 198, 613 |
| 3 | 83, 187, 939, 99, 613 |
| 11 | 83, 187, 313, 33, 613 |
| 83, 17, 313, 3, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 83 x 17 x 313 x 3 x 613 = 107207954964
Therefore, the lowest common multiple of 332,374,939,396,613 is 107207954964.
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.
332 x 374 x 939 x 396 x 613 = 28302900110496
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.
332 : 1, 2, 4, 83, 166, 332
374 : 1, 2, 11, 17, 22, 34, 187, 374
939 : 1, 3, 313, 939
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,374,939,396,613, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
374:2x 11x 17
939:3x 313
396:2x 2x 3x 3x 11
613:613
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 28302900110496/(1x264)
LCM = 28302900110496/264
LCM = 107207954964
Thus, we can understand that the LCM of 332,374,939,396,613 is 107207954964.
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FAQs on LCM of 332, 374, 939, 396, 613
1. What is the LCM of 332, 374, 939, 396, 613?
Answer: LCM of 332, 374, 939, 396, 613 is 107207954964.
2. How to calculate the LCM of 332, 374, 939, 396, 613?
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 332, 374, 939, 396, 613.
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}.