LCM of 936, 414, 314, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 414, 314, 108 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 936, 414, 314, 108. So, keep reading to learn more.
Given numbers are 936,414,314,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,414,314,108 is 10139688.
Find LCM of 936,414,314,108 with Prime Factorization
| 2 | 936, 414, 314, 108 |
| 2 | 468, 207, 157, 54 |
| 3 | 234, 207, 157, 27 |
| 3 | 78, 69, 157, 9 |
| 26, 23, 157, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 26 x 23 x 157 x 3 = 10139688
Therefore, the lowest common multiple of 936,414,314,108 is 10139688.
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.
936 x 414 x 314 x 108 = 13141035648
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
314 : 1, 2, 157, 314
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,414,314,108, is 2.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
414:2x 3x 3x 23
314:2x 157
108:2x 2x 3x 3x 3
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 3 = 648
Therefore, the value for common factors is 648.
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 = 13141035648/(2x648)
LCM = 13141035648/1296
LCM = 10139688
Thus, we can understand that the LCM of 936,414,314,108 is 10139688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 936, 414, 314, 108
1. What is the LCM of 936, 414, 314, 108?
Answer: LCM of 936, 414, 314, 108 is 10139688.
2. How to calculate the LCM of 936, 414, 314, 108?
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 936, 414, 314, 108.
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}.