LCM of 844, 925, 460, 269, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 925, 460, 269, 339 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, 925, 460, 269, 339. So, keep reading to learn more.
Given numbers are 844,925,460,269,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,925,460,269,339 is 1637434715100.
Find LCM of 844,925,460,269,339 with Prime Factorization
| 2 | 844, 925, 460, 269, 339 |
| 2 | 422, 925, 230, 269, 339 |
| 5 | 211, 925, 115, 269, 339 |
| 211, 185, 23, 269, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 211 x 185 x 23 x 269 x 339 = 1637434715100
Therefore, the lowest common multiple of 844,925,460,269,339 is 1637434715100.
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 925 x 460 x 269 x 339 = 32748694302000
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
925 : 1, 5, 25, 37, 185, 925
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
269 : 1, 269
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,925,460,269,339, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
925:5x 5x 37
460:2x 2x 5x 23
269:269
339:3x 113
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 5 = 20
Therefore, the value for common factors is 20.
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 = 32748694302000/(1x20)
LCM = 32748694302000/20
LCM = 1637434715100
Thus, we can understand that the LCM of 844,925,460,269,339 is 1637434715100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 925, 460, 269, 339
1. What is the LCM of 844, 925, 460, 269, 339?
Answer: LCM of 844, 925, 460, 269, 339 is 1637434715100.
2. How to calculate the LCM of 844, 925, 460, 269, 339?
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, 925, 460, 269, 339.
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}.