LCM of 227, 678, 889, 364, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 678, 889, 364, 421 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 227, 678, 889, 364, 421. So, keep reading to learn more.
Given numbers are 227,678,889,364,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,678,889,364,421 is 1497658362564.
Find LCM of 227,678,889,364,421 with Prime Factorization
| 2 | 227, 678, 889, 364, 421 |
| 7 | 227, 339, 889, 182, 421 |
| 227, 339, 127, 26, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 227 x 339 x 127 x 26 x 421 = 1497658362564
Therefore, the lowest common multiple of 227,678,889,364,421 is 1497658362564.
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.
227 x 678 x 889 x 364 x 421 = 20967217075896
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.
227 : 1, 227
678 : 1, 2, 3, 6, 113, 226, 339, 678
889 : 1, 7, 127, 889
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,678,889,364,421, is 1.
Now, the common factors can be found like this.
227:227
678:2x 3x 113
889:7x 127
364:2x 2x 7x 13
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 20967217075896/(1x14)
LCM = 20967217075896/14
LCM = 1497658362564
Thus, we can understand that the LCM of 227,678,889,364,421 is 1497658362564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 678, 889, 364, 421
1. What is the LCM of 227, 678, 889, 364, 421?
Answer: LCM of 227, 678, 889, 364, 421 is 1497658362564.
2. How to calculate the LCM of 227, 678, 889, 364, 421?
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 227, 678, 889, 364, 421.
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}.