LCM of 892, 520, 442, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 520, 442, 923 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, 520, 442, 923. So, keep reading to learn more.
Given numbers are 892,520,442,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,520,442,923 is 139963720.
Find LCM of 892,520,442,923 with Prime Factorization
| 2 | 892, 520, 442, 923 |
| 2 | 446, 260, 221, 923 |
| 13 | 223, 130, 221, 923 |
| 223, 10, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 223 x 10 x 17 x 71 = 139963720
Therefore, the lowest common multiple of 892,520,442,923 is 139963720.
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 520 x 442 x 923 = 189230949440
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
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
442 : 1, 2, 13, 17, 26, 34, 221, 442
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,520,442,923, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
520:2x 2x 2x 5x 13
442:2x 13x 17
923:13x 71
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 189230949440/(1x1352)
LCM = 189230949440/1352
LCM = 139963720
Thus, we can understand that the LCM of 892,520,442,923 is 139963720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 892, 520, 442, 923
1. What is the LCM of 892, 520, 442, 923?
Answer: LCM of 892, 520, 442, 923 is 139963720.
2. How to calculate the LCM of 892, 520, 442, 923?
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, 520, 442, 923.
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}.