LCM of 889, 615, 635, 155, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 615, 635, 155, 471 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, 615, 635, 155, 471. So, keep reading to learn more.
Given numbers are 889,615,635,155,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,615,635,155,471 is 2660959245.
Find LCM of 889,615,635,155,471 with Prime Factorization
| 3 | 889, 615, 635, 155, 471 |
| 5 | 889, 205, 635, 155, 157 |
| 127 | 889, 41, 127, 31, 157 |
| 7, 41, 1, 31, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 127 x 7 x 41 x 1 x 31 x 157 = 2660959245
Therefore, the lowest common multiple of 889,615,635,155,471 is 2660959245.
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 615 x 635 x 155 x 471 = 25345636808625
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
615 : 1, 3, 5, 15, 41, 123, 205, 615
635 : 1, 5, 127, 635
155 : 1, 5, 31, 155
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,615,635,155,471, is 1.
Now, the common factors can be found like this.
889:7x 127
615:3x 5x 41
635:5x 127
155:5x 31
471:3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 127 = 9525
Therefore, the value for common factors is 9525.
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 = 25345636808625/(1x9525)
LCM = 25345636808625/9525
LCM = 2660959245
Thus, we can understand that the LCM of 889,615,635,155,471 is 2660959245.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 615, 635, 155, 471
1. What is the LCM of 889, 615, 635, 155, 471?
Answer: LCM of 889, 615, 635, 155, 471 is 2660959245.
2. How to calculate the LCM of 889, 615, 635, 155, 471?
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, 615, 635, 155, 471.
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}.