LCM of 812, 926, 728, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 926, 728, 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 812, 926, 728, 936. So, keep reading to learn more.
Given numbers are 812,926,728,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,926,728,936 is 87973704.
Find LCM of 812,926,728,936 with Prime Factorization
| 2 | 812, 926, 728, 936 |
| 2 | 406, 463, 364, 468 |
| 2 | 203, 463, 182, 234 |
| 7 | 203, 463, 91, 117 |
| 13 | 29, 463, 13, 117 |
| 29, 463, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 29 x 463 x 1 x 9 = 87973704
Therefore, the lowest common multiple of 812,926,728,936 is 87973704.
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.
812 x 926 x 728 x 936 = 512358852096
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
926 : 1, 2, 463, 926
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,926,728,936, is 2.
Now, the common factors can be found like this.
812:2x 2x 7x 29
926:2x 463
728:2x 2x 2x 7x 13
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 2x 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 512358852096/(2x2912)
LCM = 512358852096/5824
LCM = 87973704
Thus, we can understand that the LCM of 812,926,728,936 is 87973704.
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FAQs on LCM of 812, 926, 728, 936
1. What is the LCM of 812, 926, 728, 936?
Answer: LCM of 812, 926, 728, 936 is 87973704.
2. How to calculate the LCM of 812, 926, 728, 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 812, 926, 728, 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}.