LCM of 198, 627, 361, 138, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 627, 361, 138, 375 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, 627, 361, 138, 375. So, keep reading to learn more.
Given numbers are 198,627,361,138,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,627,361,138,375 is 205499250.
Find LCM of 198,627,361,138,375 with Prime Factorization
| 2 | 198, 627, 361, 138, 375 |
| 3 | 99, 627, 361, 69, 375 |
| 11 | 33, 209, 361, 23, 125 |
| 19 | 3, 19, 361, 23, 125 |
| 3, 1, 19, 23, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 3 x 1 x 19 x 23 x 125 = 205499250
Therefore, the lowest common multiple of 198,627,361,138,375 is 205499250.
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 627 x 361 x 138 x 375 = 2319264535500
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
361 : 1, 19, 361
138 : 1, 2, 3, 6, 23, 46, 69, 138
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,627,361,138,375, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
627:3x 11x 19
361:19x 19
138:2x 3x 23
375:3x 5x 5x 5
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 3x 3x 11x 19 = 11286
Therefore, the value for common factors is 11286.
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 = 2319264535500/(1x11286)
LCM = 2319264535500/11286
LCM = 205499250
Thus, we can understand that the LCM of 198,627,361,138,375 is 205499250.
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FAQs on LCM of 198, 627, 361, 138, 375
1. What is the LCM of 198, 627, 361, 138, 375?
Answer: LCM of 198, 627, 361, 138, 375 is 205499250.
2. How to calculate the LCM of 198, 627, 361, 138, 375?
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, 627, 361, 138, 375.
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}.