LCM of 389, 978, 133, 755, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 978, 133, 755, 189 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 389, 978, 133, 755, 189. So, keep reading to learn more.
Given numbers are 389,978,133,755,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,978,133,755,189 is 343818750870.
Find LCM of 389,978,133,755,189 with Prime Factorization
| 3 | 389, 978, 133, 755, 189 |
| 7 | 389, 326, 133, 755, 63 |
| 389, 326, 19, 755, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 389 x 326 x 19 x 755 x 9 = 343818750870
Therefore, the lowest common multiple of 389,978,133,755,189 is 343818750870.
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.
389 x 978 x 133 x 755 x 189 = 7220193768270
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.
389 : 1, 389
978 : 1, 2, 3, 6, 163, 326, 489, 978
133 : 1, 7, 19, 133
755 : 1, 5, 151, 755
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,978,133,755,189, is 1.
Now, the common factors can be found like this.
389:389
978:2x 3x 163
133:7x 19
755:5x 151
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 7220193768270/(1x21)
LCM = 7220193768270/21
LCM = 343818750870
Thus, we can understand that the LCM of 389,978,133,755,189 is 343818750870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 389, 978, 133, 755, 189
1. What is the LCM of 389, 978, 133, 755, 189?
Answer: LCM of 389, 978, 133, 755, 189 is 343818750870.
2. How to calculate the LCM of 389, 978, 133, 755, 189?
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 389, 978, 133, 755, 189.
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}.