LCM of 212, 791, 434, 306, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 791, 434, 306, 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 212, 791, 434, 306, 936. So, keep reading to learn more.
Given numbers are 212,791,434,306,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,791,434,306,936 is 20679442056.
Find LCM of 212,791,434,306,936 with Prime Factorization
| 2 | 212, 791, 434, 306, 936 |
| 2 | 106, 791, 217, 153, 468 |
| 3 | 53, 791, 217, 153, 234 |
| 3 | 53, 791, 217, 51, 78 |
| 7 | 53, 791, 217, 17, 26 |
| 53, 113, 31, 17, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 53 x 113 x 31 x 17 x 26 = 20679442056
Therefore, the lowest common multiple of 212,791,434,306,936 is 20679442056.
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.
212 x 791 x 434 x 306 x 936 = 20844877592448
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.
212 : 1, 2, 4, 53, 106, 212
791 : 1, 7, 113, 791
434 : 1, 2, 7, 14, 31, 62, 217, 434
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 212,791,434,306,936, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
791:7x 113
434:2x 7x 31
306:2x 3x 3x 17
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 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 20844877592448/(1x1008)
LCM = 20844877592448/1008
LCM = 20679442056
Thus, we can understand that the LCM of 212,791,434,306,936 is 20679442056.
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FAQs on LCM of 212, 791, 434, 306, 936
1. What is the LCM of 212, 791, 434, 306, 936?
Answer: LCM of 212, 791, 434, 306, 936 is 20679442056.
2. How to calculate the LCM of 212, 791, 434, 306, 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 212, 791, 434, 306, 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}.