LCM of 298, 225, 728, 395, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 225, 728, 395, 849 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 298, 225, 728, 395, 849. So, keep reading to learn more.
Given numbers are 298,225,728,395,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,225,728,395,849 is 545649413400.
Find LCM of 298,225,728,395,849 with Prime Factorization
| 2 | 298, 225, 728, 395, 849 |
| 3 | 149, 225, 364, 395, 849 |
| 5 | 149, 75, 364, 395, 283 |
| 149, 15, 364, 79, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 149 x 15 x 364 x 79 x 283 = 545649413400
Therefore, the lowest common multiple of 298,225,728,395,849 is 545649413400.
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.
298 x 225 x 728 x 395 x 849 = 16369482402000
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.
298 : 1, 2, 149, 298
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
395 : 1, 5, 79, 395
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,225,728,395,849, is 1.
Now, the common factors can be found like this.
298:2x 149
225:3x 3x 5x 5
728:2x 2x 2x 7x 13
395:5x 79
849:3x 283
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 = 16369482402000/(1x30)
LCM = 16369482402000/30
LCM = 545649413400
Thus, we can understand that the LCM of 298,225,728,395,849 is 545649413400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 225, 728, 395, 849
1. What is the LCM of 298, 225, 728, 395, 849?
Answer: LCM of 298, 225, 728, 395, 849 is 545649413400.
2. How to calculate the LCM of 298, 225, 728, 395, 849?
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 298, 225, 728, 395, 849.
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}.