LCM of 449, 460, 355, 174, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 460, 355, 174, 117 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 449, 460, 355, 174, 117. So, keep reading to learn more.
Given numbers are 449,460,355,174,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,460,355,174,117 is 49756105620.
Find LCM of 449,460,355,174,117 with Prime Factorization
| 2 | 449, 460, 355, 174, 117 |
| 3 | 449, 230, 355, 87, 117 |
| 5 | 449, 230, 355, 29, 39 |
| 449, 46, 71, 29, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 449 x 46 x 71 x 29 x 39 = 49756105620
Therefore, the lowest common multiple of 449,460,355,174,117 is 49756105620.
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.
449 x 460 x 355 x 174 x 117 = 1492683168600
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.
449 : 1, 449
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
355 : 1, 5, 71, 355
174 : 1, 2, 3, 6, 29, 58, 87, 174
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,460,355,174,117, is 1.
Now, the common factors can be found like this.
449:449
460:2x 2x 5x 23
355:5x 71
174:2x 3x 29
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 1492683168600/(1x30)
LCM = 1492683168600/30
LCM = 49756105620
Thus, we can understand that the LCM of 449,460,355,174,117 is 49756105620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 449, 460, 355, 174, 117
1. What is the LCM of 449, 460, 355, 174, 117?
Answer: LCM of 449, 460, 355, 174, 117 is 49756105620.
2. How to calculate the LCM of 449, 460, 355, 174, 117?
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 449, 460, 355, 174, 117.
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}.