LCM of 189, 241, 374, 693, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 241, 374, 693, 192 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 189, 241, 374, 693, 192. So, keep reading to learn more.
Given numbers are 189,241,374,693,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,241,374,693,192 is 545130432.
Find LCM of 189,241,374,693,192 with Prime Factorization
| 2 | 189, 241, 374, 693, 192 |
| 3 | 189, 241, 187, 693, 96 |
| 3 | 63, 241, 187, 231, 32 |
| 7 | 21, 241, 187, 77, 32 |
| 11 | 3, 241, 187, 11, 32 |
| 3, 241, 17, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 3 x 241 x 17 x 1 x 32 = 545130432
Therefore, the lowest common multiple of 189,241,374,693,192 is 545130432.
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.
189 x 241 x 374 x 693 x 192 = 2266652336256
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
241 : 1, 241
374 : 1, 2, 11, 17, 22, 34, 187, 374
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,241,374,693,192, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
241:241
374:2x 11x 17
693:3x 3x 7x 11
192:2x 2x 2x 2x 2x 2x 3
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 7x 11 = 4158
Therefore, the value for common factors is 4158.
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 = 2266652336256/(1x4158)
LCM = 2266652336256/4158
LCM = 545130432
Thus, we can understand that the LCM of 189,241,374,693,192 is 545130432.
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FAQs on LCM of 189, 241, 374, 693, 192
1. What is the LCM of 189, 241, 374, 693, 192?
Answer: LCM of 189, 241, 374, 693, 192 is 545130432.
2. How to calculate the LCM of 189, 241, 374, 693, 192?
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 189, 241, 374, 693, 192.
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}.