LCM of 884, 142, 923, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 142, 923, 989 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 884, 142, 923, 989. So, keep reading to learn more.
Given numbers are 884,142,923,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,142,923,989 is 62073596.
Find LCM of 884,142,923,989 with Prime Factorization
| 2 | 884, 142, 923, 989 |
| 13 | 442, 71, 923, 989 |
| 71 | 34, 71, 71, 989 |
| 34, 1, 1, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 34 x 1 x 1 x 989 = 62073596
Therefore, the lowest common multiple of 884,142,923,989 is 62073596.
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.
884 x 142 x 923 x 989 = 114587858216
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
142 : 1, 2, 71, 142
923 : 1, 13, 71, 923
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,142,923,989, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
142:2x 71
923:13x 71
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 71 = 1846
Therefore, the value for common factors is 1846.
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 = 114587858216/(1x1846)
LCM = 114587858216/1846
LCM = 62073596
Thus, we can understand that the LCM of 884,142,923,989 is 62073596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 884, 142, 923, 989
1. What is the LCM of 884, 142, 923, 989?
Answer: LCM of 884, 142, 923, 989 is 62073596.
2. How to calculate the LCM of 884, 142, 923, 989?
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 884, 142, 923, 989.
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}.