LCM of 939, 249, 612, 156, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 249, 612, 156, 306 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, 249, 612, 156, 306. So, keep reading to learn more.
Given numbers are 939,249,612,156,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,249,612,156,306 is 206688924.
Find LCM of 939,249,612,156,306 with Prime Factorization
| 2 | 939, 249, 612, 156, 306 |
| 2 | 939, 249, 306, 78, 153 |
| 3 | 939, 249, 153, 39, 153 |
| 3 | 313, 83, 51, 13, 51 |
| 17 | 313, 83, 17, 13, 17 |
| 313, 83, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 313 x 83 x 1 x 13 x 1 = 206688924
Therefore, the lowest common multiple of 939,249,612,156,306 is 206688924.
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 249 x 612 x 156 x 306 = 6830655560352
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
249 : 1, 3, 83, 249
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,249,612,156,306, is 3.
Now, the common factors can be found like this.
939:3x 313
249:3x 83
612:2x 2x 3x 3x 17
156:2x 2x 3x 13
306:2x 3x 3x 17
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 3x 3x 3x 17 = 11016
Therefore, the value for common factors is 11016.
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 = 6830655560352/(3x11016)
LCM = 6830655560352/33048
LCM = 206688924
Thus, we can understand that the LCM of 939,249,612,156,306 is 206688924.
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FAQs on LCM of 939, 249, 612, 156, 306
1. What is the LCM of 939, 249, 612, 156, 306?
Answer: LCM of 939, 249, 612, 156, 306 is 206688924.
2. How to calculate the LCM of 939, 249, 612, 156, 306?
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, 249, 612, 156, 306.
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}.