LCM of 989, 874, 918, 622, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 874, 918, 622, 991 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 989, 874, 918, 622, 991. So, keep reading to learn more.
Given numbers are 989,874,918,622,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,874,918,622,991 is 5316509781738.
Find LCM of 989,874,918,622,991 with Prime Factorization
| 2 | 989, 874, 918, 622, 991 |
| 23 | 989, 437, 459, 311, 991 |
| 43, 19, 459, 311, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 43 x 19 x 459 x 311 x 991 = 5316509781738
Therefore, the lowest common multiple of 989,874,918,622,991 is 5316509781738.
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.
989 x 874 x 918 x 622 x 991 = 489118899919896
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.
989 : 1, 23, 43, 989
874 : 1, 2, 19, 23, 38, 46, 437, 874
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
622 : 1, 2, 311, 622
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,874,918,622,991, is 1.
Now, the common factors can be found like this.
989:23x 43
874:2x 19x 23
918:2x 3x 3x 3x 17
622:2x 311
991:991
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 23 = 92
Therefore, the value for common factors is 92.
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 = 489118899919896/(1x92)
LCM = 489118899919896/92
LCM = 5316509781738
Thus, we can understand that the LCM of 989,874,918,622,991 is 5316509781738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 874, 918, 622, 991
1. What is the LCM of 989, 874, 918, 622, 991?
Answer: LCM of 989, 874, 918, 622, 991 is 5316509781738.
2. How to calculate the LCM of 989, 874, 918, 622, 991?
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 989, 874, 918, 622, 991.
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}.