LCM of 892, 773, 812, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 773, 812, 898 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 892, 773, 812, 898. So, keep reading to learn more.
Given numbers are 892,773,812,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,773,812,898 is 62847314852.
Find LCM of 892,773,812,898 with Prime Factorization
| 2 | 892, 773, 812, 898 |
| 2 | 446, 773, 406, 449 |
| 223, 773, 203, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 223 x 773 x 203 x 449 = 62847314852
Therefore, the lowest common multiple of 892,773,812,898 is 62847314852.
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.
892 x 773 x 812 x 898 = 502778518816
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.
892 : 1, 2, 4, 223, 446, 892
773 : 1, 773
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,773,812,898, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
773:773
812:2x 2x 7x 29
898:2x 449
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 2 = 8
Therefore, the value for common factors is 8.
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 = 502778518816/(1x8)
LCM = 502778518816/8
LCM = 62847314852
Thus, we can understand that the LCM of 892,773,812,898 is 62847314852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 892, 773, 812, 898
1. What is the LCM of 892, 773, 812, 898?
Answer: LCM of 892, 773, 812, 898 is 62847314852.
2. How to calculate the LCM of 892, 773, 812, 898?
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 892, 773, 812, 898.
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}.