LCM of 812, 791, 294, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 791, 294, 899 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, 791, 294, 899. So, keep reading to learn more.
Given numbers are 812,791,294,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,791,294,899 is 59733156.
Find LCM of 812,791,294,899 with Prime Factorization
| 2 | 812, 791, 294, 899 |
| 7 | 406, 791, 147, 899 |
| 29 | 58, 113, 21, 899 |
| 2, 113, 21, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 2 x 113 x 21 x 31 = 59733156
Therefore, the lowest common multiple of 812,791,294,899 is 59733156.
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 791 x 294 x 899 = 169761629352
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
791 : 1, 7, 113, 791
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,791,294,899, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
791:7x 113
294:2x 3x 7x 7
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 29 = 2842
Therefore, the value for common factors is 2842.
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 = 169761629352/(1x2842)
LCM = 169761629352/2842
LCM = 59733156
Thus, we can understand that the LCM of 812,791,294,899 is 59733156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 812, 791, 294, 899
1. What is the LCM of 812, 791, 294, 899?
Answer: LCM of 812, 791, 294, 899 is 59733156.
2. How to calculate the LCM of 812, 791, 294, 899?
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, 791, 294, 899.
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}.