LCM of 884, 611, 114, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 611, 114, 109 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 884, 611, 114, 109. So, keep reading to learn more.
Given numbers are 884,611,114,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,611,114,109 is 258137724.
Find LCM of 884,611,114,109 with Prime Factorization
| 2 | 884, 611, 114, 109 |
| 13 | 442, 611, 57, 109 |
| 34, 47, 57, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 34 x 47 x 57 x 109 = 258137724
Therefore, the lowest common multiple of 884,611,114,109 is 258137724.
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.
884 x 611 x 114 x 109 = 6711580824
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
611 : 1, 13, 47, 611
114 : 1, 2, 3, 6, 19, 38, 57, 114
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,611,114,109, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
611:13x 47
114:2x 3x 19
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 6711580824/(1x26)
LCM = 6711580824/26
LCM = 258137724
Thus, we can understand that the LCM of 884,611,114,109 is 258137724.
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FAQs on LCM of 884, 611, 114, 109
1. What is the LCM of 884, 611, 114, 109?
Answer: LCM of 884, 611, 114, 109 is 258137724.
2. How to calculate the LCM of 884, 611, 114, 109?
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 884, 611, 114, 109.
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}.