LCM of 229, 473, 903, 889, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 473, 903, 889, 254 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 229, 473, 903, 889, 254. So, keep reading to learn more.
Given numbers are 229,473,903,889,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,473,903,889,254 is 577762878.
Find LCM of 229,473,903,889,254 with Prime Factorization
| 7 | 229, 473, 903, 889, 254 |
| 43 | 229, 473, 129, 127, 254 |
| 127 | 229, 11, 3, 127, 254 |
| 229, 11, 3, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
7 x 43 x 127 x 229 x 11 x 3 x 1 x 2 = 577762878
Therefore, the lowest common multiple of 229,473,903,889,254 is 577762878.
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.
229 x 473 x 903 x 889 x 254 = 22086141537306
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.
229 : 1, 229
473 : 1, 11, 43, 473
903 : 1, 3, 7, 21, 43, 129, 301, 903
889 : 1, 7, 127, 889
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,473,903,889,254, is 1.
Now, the common factors can be found like this.
229:229
473:11x 43
903:3x 7x 43
889:7x 127
254:2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 43x 127 = 38227
Therefore, the value for common factors is 38227.
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 = 22086141537306/(1x38227)
LCM = 22086141537306/38227
LCM = 577762878
Thus, we can understand that the LCM of 229,473,903,889,254 is 577762878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 473, 903, 889, 254
1. What is the LCM of 229, 473, 903, 889, 254?
Answer: LCM of 229, 473, 903, 889, 254 is 577762878.
2. How to calculate the LCM of 229, 473, 903, 889, 254?
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 229, 473, 903, 889, 254.
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}.