LCM of 889, 959, 727, 638, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 959, 727, 638, 822 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, 959, 727, 638, 822. So, keep reading to learn more.
Given numbers are 889,959,727,638,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,959,727,638,822 is 169472280054.
Find LCM of 889,959,727,638,822 with Prime Factorization
| 2 | 889, 959, 727, 638, 822 |
| 7 | 889, 959, 727, 319, 411 |
| 137 | 127, 137, 727, 319, 411 |
| 127, 1, 727, 319, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 137 x 127 x 1 x 727 x 319 x 3 = 169472280054
Therefore, the lowest common multiple of 889,959,727,638,822 is 169472280054.
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 959 x 727 x 638 x 822 = 325047833143572
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
959 : 1, 7, 137, 959
727 : 1, 727
638 : 1, 2, 11, 22, 29, 58, 319, 638
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,959,727,638,822, is 1.
Now, the common factors can be found like this.
889:7x 127
959:7x 137
727:727
638:2x 11x 29
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 137 = 1918
Therefore, the value for common factors is 1918.
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 = 325047833143572/(1x1918)
LCM = 325047833143572/1918
LCM = 169472280054
Thus, we can understand that the LCM of 889,959,727,638,822 is 169472280054.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 959, 727, 638, 822
1. What is the LCM of 889, 959, 727, 638, 822?
Answer: LCM of 889, 959, 727, 638, 822 is 169472280054.
2. How to calculate the LCM of 889, 959, 727, 638, 822?
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, 959, 727, 638, 822.
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}.