LCM of 928, 702, 889, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 702, 889, 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 928, 702, 889, 189. So, keep reading to learn more.
Given numbers are 928,702,889,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,702,889,189 is 289572192.
Find LCM of 928,702,889,189 with Prime Factorization
| 2 | 928, 702, 889, 189 |
| 3 | 464, 351, 889, 189 |
| 3 | 464, 117, 889, 63 |
| 3 | 464, 39, 889, 21 |
| 7 | 464, 13, 889, 7 |
| 464, 13, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 464 x 13 x 127 x 1 = 289572192
Therefore, the lowest common multiple of 928,702,889,189 is 289572192.
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.
928 x 702 x 889 x 189 = 109458288576
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
889 : 1, 7, 127, 889
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 928,702,889,189, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
702:2x 3x 3x 3x 13
889:7x 127
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.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 109458288576/(1x378)
LCM = 109458288576/378
LCM = 289572192
Thus, we can understand that the LCM of 928,702,889,189 is 289572192.
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FAQs on LCM of 928, 702, 889, 189
1. What is the LCM of 928, 702, 889, 189?
Answer: LCM of 928, 702, 889, 189 is 289572192.
2. How to calculate the LCM of 928, 702, 889, 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 928, 702, 889, 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}.