LCM of 431, 205, 540, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 205, 540, 936 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 431, 205, 540, 936. So, keep reading to learn more.
Given numbers are 431,205,540,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,205,540,936 is 248100840.
Find LCM of 431,205,540,936 with Prime Factorization
| 2 | 431, 205, 540, 936 |
| 2 | 431, 205, 270, 468 |
| 3 | 431, 205, 135, 234 |
| 3 | 431, 205, 45, 78 |
| 5 | 431, 205, 15, 26 |
| 431, 41, 3, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 431 x 41 x 3 x 26 = 248100840
Therefore, the lowest common multiple of 431,205,540,936 is 248100840.
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.
431 x 205 x 540 x 936 = 44658151200
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.
431 : 1, 431
205 : 1, 5, 41, 205
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,205,540,936, is 1.
Now, the common factors can be found like this.
431:431
205:5x 41
540:2x 2x 3x 3x 3x 5
936:2x 2x 2x 3x 3x 13
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 44658151200/(1x180)
LCM = 44658151200/180
LCM = 248100840
Thus, we can understand that the LCM of 431,205,540,936 is 248100840.
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FAQs on LCM of 431, 205, 540, 936
1. What is the LCM of 431, 205, 540, 936?
Answer: LCM of 431, 205, 540, 936 is 248100840.
2. How to calculate the LCM of 431, 205, 540, 936?
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 431, 205, 540, 936.
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}.