LCM of 173, 250, 242, 838, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 250, 242, 838, 296 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 173, 250, 242, 838, 296. So, keep reading to learn more.
Given numbers are 173,250,242,838,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,250,242,838,296 is 324524299000.
Find LCM of 173,250,242,838,296 with Prime Factorization
| 2 | 173, 250, 242, 838, 296 |
| 173, 125, 121, 419, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 125 x 121 x 419 x 148 = 324524299000
Therefore, the lowest common multiple of 173,250,242,838,296 is 324524299000.
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.
173 x 250 x 242 x 838 x 296 = 2596194392000
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.
173 : 1, 173
250 : 1, 2, 5, 10, 25, 50, 125, 250
242 : 1, 2, 11, 22, 121, 242
838 : 1, 2, 419, 838
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,250,242,838,296, is 1.
Now, the common factors can be found like this.
173:173
250:2x 5x 5x 5
242:2x 11x 11
838:2x 419
296:2x 2x 2x 37
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 2 = 8
Therefore, the value for common factors is 8.
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 = 2596194392000/(1x8)
LCM = 2596194392000/8
LCM = 324524299000
Thus, we can understand that the LCM of 173,250,242,838,296 is 324524299000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 250, 242, 838, 296
1. What is the LCM of 173, 250, 242, 838, 296?
Answer: LCM of 173, 250, 242, 838, 296 is 324524299000.
2. How to calculate the LCM of 173, 250, 242, 838, 296?
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 173, 250, 242, 838, 296.
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}.