LCM of 844, 127, 130, 616, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 127, 130, 616, 381 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 844, 127, 130, 616, 381. So, keep reading to learn more.
Given numbers are 844,127,130,616,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,127,130,616,381 is 3218855640.
Find LCM of 844,127,130,616,381 with Prime Factorization
| 2 | 844, 127, 130, 616, 381 |
| 2 | 422, 127, 65, 308, 381 |
| 127 | 211, 127, 65, 154, 381 |
| 211, 1, 65, 154, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 127 x 211 x 1 x 65 x 154 x 3 = 3218855640
Therefore, the lowest common multiple of 844,127,130,616,381 is 3218855640.
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.
844 x 127 x 130 x 616 x 381 = 3270357330240
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.
844 : 1, 2, 4, 211, 422, 844
127 : 1, 127
130 : 1, 2, 5, 10, 13, 26, 65, 130
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,127,130,616,381, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
127:127
130:2x 5x 13
616:2x 2x 2x 7x 11
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 127 = 1016
Therefore, the value for common factors is 1016.
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 = 3270357330240/(1x1016)
LCM = 3270357330240/1016
LCM = 3218855640
Thus, we can understand that the LCM of 844,127,130,616,381 is 3218855640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 127, 130, 616, 381
1. What is the LCM of 844, 127, 130, 616, 381?
Answer: LCM of 844, 127, 130, 616, 381 is 3218855640.
2. How to calculate the LCM of 844, 127, 130, 616, 381?
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 844, 127, 130, 616, 381.
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}.