LCM of 889, 776, 738, 574, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 776, 738, 574, 623 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 889, 776, 738, 574, 623. So, keep reading to learn more.
Given numbers are 889,776,738,574,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,776,738,574,623 is 22655823624.
Find LCM of 889,776,738,574,623 with Prime Factorization
| 2 | 889, 776, 738, 574, 623 |
| 7 | 889, 388, 369, 287, 623 |
| 41 | 127, 388, 369, 41, 89 |
| 127, 388, 9, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 127 x 388 x 9 x 1 x 89 = 22655823624
Therefore, the lowest common multiple of 889,776,738,574,623 is 22655823624.
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.
889 x 776 x 738 x 574 x 623 = 182062198642464
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.
889 : 1, 7, 127, 889
776 : 1, 2, 4, 8, 97, 194, 388, 776
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
574 : 1, 2, 7, 14, 41, 82, 287, 574
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,776,738,574,623, is 1.
Now, the common factors can be found like this.
889:7x 127
776:2x 2x 2x 97
738:2x 3x 3x 41
574:2x 7x 41
623:7x 89
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 7x 7x 41 = 8036
Therefore, the value for common factors is 8036.
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 = 182062198642464/(1x8036)
LCM = 182062198642464/8036
LCM = 22655823624
Thus, we can understand that the LCM of 889,776,738,574,623 is 22655823624.
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FAQs on LCM of 889, 776, 738, 574, 623
1. What is the LCM of 889, 776, 738, 574, 623?
Answer: LCM of 889, 776, 738, 574, 623 is 22655823624.
2. How to calculate the LCM of 889, 776, 738, 574, 623?
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 889, 776, 738, 574, 623.
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}.