LCM of 221, 909, 889, 413, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 909, 889, 413, 114 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 221, 909, 889, 413, 114. So, keep reading to learn more.
Given numbers are 221,909,889,413,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,909,889,413,114 is 400399499682.
Find LCM of 221,909,889,413,114 with Prime Factorization
| 3 | 221, 909, 889, 413, 114 |
| 7 | 221, 303, 889, 413, 38 |
| 221, 303, 127, 59, 38 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 221 x 303 x 127 x 59 x 38 = 400399499682
Therefore, the lowest common multiple of 221,909,889,413,114 is 400399499682.
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.
221 x 909 x 889 x 413 x 114 = 8408389493322
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.
221 : 1, 13, 17, 221
909 : 1, 3, 9, 101, 303, 909
889 : 1, 7, 127, 889
413 : 1, 7, 59, 413
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,909,889,413,114, is 1.
Now, the common factors can be found like this.
221:13x 17
909:3x 3x 101
889:7x 127
413:7x 59
114:2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 8408389493322/(1x21)
LCM = 8408389493322/21
LCM = 400399499682
Thus, we can understand that the LCM of 221,909,889,413,114 is 400399499682.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 909, 889, 413, 114
1. What is the LCM of 221, 909, 889, 413, 114?
Answer: LCM of 221, 909, 889, 413, 114 is 400399499682.
2. How to calculate the LCM of 221, 909, 889, 413, 114?
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 221, 909, 889, 413, 114.
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}.