LCM of 189, 471, 693, 657, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 471, 693, 657, 522 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, 471, 693, 657, 522. So, keep reading to learn more.
Given numbers are 189,471,693,657,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,471,693,657,522 is 1381990302.
Find LCM of 189,471,693,657,522 with Prime Factorization
| 3 | 189, 471, 693, 657, 522 |
| 3 | 63, 157, 231, 219, 174 |
| 7 | 21, 157, 77, 73, 58 |
| 3, 157, 11, 73, 58 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 3 x 157 x 11 x 73 x 58 = 1381990302
Therefore, the lowest common multiple of 189,471,693,657,522 is 1381990302.
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 471 x 693 x 657 x 522 = 21156889533318
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
471 : 1, 3, 157, 471
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
657 : 1, 3, 9, 73, 219, 657
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,471,693,657,522, is 3.
Now, the common factors can be found like this.
189:3x 3x 3x 7
471:3x 157
693:3x 3x 7x 11
657:3x 3x 73
522:2x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 7 = 5103
Therefore, the value for common factors is 5103.
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 = 21156889533318/(3x5103)
LCM = 21156889533318/15309
LCM = 1381990302
Thus, we can understand that the LCM of 189,471,693,657,522 is 1381990302.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 189, 471, 693, 657, 522
1. What is the LCM of 189, 471, 693, 657, 522?
Answer: LCM of 189, 471, 693, 657, 522 is 1381990302.
2. How to calculate the LCM of 189, 471, 693, 657, 522?
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, 471, 693, 657, 522.
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}.