LCM of 298, 978, 135, 326, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 978, 135, 326, 199 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, 978, 135, 326, 199. So, keep reading to learn more.
Given numbers are 298,978,135,326,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,978,135,326,199 is 1304940510.
Find LCM of 298,978,135,326,199 with Prime Factorization
| 2 | 298, 978, 135, 326, 199 |
| 3 | 149, 489, 135, 163, 199 |
| 163 | 149, 163, 45, 163, 199 |
| 149, 1, 45, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 149 x 1 x 45 x 1 x 199 = 1304940510
Therefore, the lowest common multiple of 298,978,135,326,199 is 1304940510.
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 978 x 135 x 326 x 199 = 2552463637560
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
135 : 1, 3, 5, 9, 15, 27, 45, 135
326 : 1, 2, 163, 326
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,978,135,326,199, is 1.
Now, the common factors can be found like this.
298:2x 149
978:2x 3x 163
135:3x 3x 3x 5
326:2x 163
199:199
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 3x 163 = 1956
Therefore, the value for common factors is 1956.
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 = 2552463637560/(1x1956)
LCM = 2552463637560/1956
LCM = 1304940510
Thus, we can understand that the LCM of 298,978,135,326,199 is 1304940510.
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FAQs on LCM of 298, 978, 135, 326, 199
1. What is the LCM of 298, 978, 135, 326, 199?
Answer: LCM of 298, 978, 135, 326, 199 is 1304940510.
2. How to calculate the LCM of 298, 978, 135, 326, 199?
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, 978, 135, 326, 199.
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}.