LCM of 844, 114, 138, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 114, 138, 719 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, 114, 138, 719. So, keep reading to learn more.
Given numbers are 844,114,138,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,114,138,719 is 795561996.
Find LCM of 844,114,138,719 with Prime Factorization
| 2 | 844, 114, 138, 719 |
| 3 | 422, 57, 69, 719 |
| 422, 19, 23, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 422 x 19 x 23 x 719 = 795561996
Therefore, the lowest common multiple of 844,114,138,719 is 795561996.
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 114 x 138 x 719 = 9546743952
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
114 : 1, 2, 3, 6, 19, 38, 57, 114
138 : 1, 2, 3, 6, 23, 46, 69, 138
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,114,138,719, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
114:2x 3x 19
138:2x 3x 23
719:719
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 3 = 12
Therefore, the value for common factors is 12.
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 = 9546743952/(1x12)
LCM = 9546743952/12
LCM = 795561996
Thus, we can understand that the LCM of 844,114,138,719 is 795561996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 114, 138, 719
1. What is the LCM of 844, 114, 138, 719?
Answer: LCM of 844, 114, 138, 719 is 795561996.
2. How to calculate the LCM of 844, 114, 138, 719?
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, 114, 138, 719.
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}.