LCM of 842, 323, 338, 842, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 323, 338, 842, 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 842, 323, 338, 842, 114. So, keep reading to learn more.
Given numbers are 842,323,338,842,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,323,338,842,114 is 137886762.
Find LCM of 842,323,338,842,114 with Prime Factorization
| 2 | 842, 323, 338, 842, 114 |
| 19 | 421, 323, 169, 421, 57 |
| 421 | 421, 17, 169, 421, 3 |
| 1, 17, 169, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 421 x 1 x 17 x 169 x 1 x 3 = 137886762
Therefore, the lowest common multiple of 842,323,338,842,114 is 137886762.
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.
842 x 323 x 338 x 842 x 114 = 8823649673904
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.
842 : 1, 2, 421, 842
323 : 1, 17, 19, 323
338 : 1, 2, 13, 26, 169, 338
842 : 1, 2, 421, 842
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 842,323,338,842,114, is 1.
Now, the common factors can be found like this.
842:2x 421
323:17x 19
338:2x 13x 13
842:2x 421
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.
2x 2x 2x 19x 421 = 63992
Therefore, the value for common factors is 63992.
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 = 8823649673904/(1x63992)
LCM = 8823649673904/63992
LCM = 137886762
Thus, we can understand that the LCM of 842,323,338,842,114 is 137886762.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 842, 323, 338, 842, 114
1. What is the LCM of 842, 323, 338, 842, 114?
Answer: LCM of 842, 323, 338, 842, 114 is 137886762.
2. How to calculate the LCM of 842, 323, 338, 842, 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 842, 323, 338, 842, 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}.