LCM of 198, 358, 978, 472, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 358, 978, 472, 872 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 198, 358, 978, 472, 872. So, keep reading to learn more.
Given numbers are 198,358,978,472,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,358,978,472,872 is 148608731304.
Find LCM of 198,358,978,472,872 with Prime Factorization
| 2 | 198, 358, 978, 472, 872 |
| 2 | 99, 179, 489, 236, 436 |
| 2 | 99, 179, 489, 118, 218 |
| 3 | 99, 179, 489, 59, 109 |
| 33, 179, 163, 59, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 33 x 179 x 163 x 59 x 109 = 148608731304
Therefore, the lowest common multiple of 198,358,978,472,872 is 148608731304.
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.
198 x 358 x 978 x 472 x 872 = 28532876410368
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
358 : 1, 2, 179, 358
978 : 1, 2, 3, 6, 163, 326, 489, 978
472 : 1, 2, 4, 8, 59, 118, 236, 472
872 : 1, 2, 4, 8, 109, 218, 436, 872
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,358,978,472,872, is 2.
Now, the common factors can be found like this.
198:2x 3x 3x 11
358:2x 179
978:2x 3x 163
472:2x 2x 2x 59
872:2x 2x 2x 109
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 28532876410368/(2x96)
LCM = 28532876410368/192
LCM = 148608731304
Thus, we can understand that the LCM of 198,358,978,472,872 is 148608731304.
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FAQs on LCM of 198, 358, 978, 472, 872
1. What is the LCM of 198, 358, 978, 472, 872?
Answer: LCM of 198, 358, 978, 472, 872 is 148608731304.
2. How to calculate the LCM of 198, 358, 978, 472, 872?
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 198, 358, 978, 472, 872.
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}.