LCM of 721, 202, 189, 378, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 202, 189, 378, 459 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 721, 202, 189, 378, 459. So, keep reading to learn more.
Given numbers are 721,202,189,378,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,202,189,378,459 is 66849678.
Find LCM of 721,202,189,378,459 with Prime Factorization
| 2 | 721, 202, 189, 378, 459 |
| 3 | 721, 101, 189, 189, 459 |
| 3 | 721, 101, 63, 63, 153 |
| 3 | 721, 101, 21, 21, 51 |
| 7 | 721, 101, 7, 7, 17 |
| 103, 101, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 103 x 101 x 1 x 1 x 17 = 66849678
Therefore, the lowest common multiple of 721,202,189,378,459 is 66849678.
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.
721 x 202 x 189 x 378 x 459 = 4775874695676
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.
721 : 1, 7, 103, 721
202 : 1, 2, 101, 202
189 : 1, 3, 7, 9, 21, 27, 63, 189
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,202,189,378,459, is 1.
Now, the common factors can be found like this.
721:7x 103
202:2x 101
189:3x 3x 3x 7
378:2x 3x 3x 3x 7
459:3x 3x 3x 17
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 3x 3x 3x 7x 7 = 71442
Therefore, the value for common factors is 71442.
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 = 4775874695676/(1x71442)
LCM = 4775874695676/71442
LCM = 66849678
Thus, we can understand that the LCM of 721,202,189,378,459 is 66849678.
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FAQs on LCM of 721, 202, 189, 378, 459
1. What is the LCM of 721, 202, 189, 378, 459?
Answer: LCM of 721, 202, 189, 378, 459 is 66849678.
2. How to calculate the LCM of 721, 202, 189, 378, 459?
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 721, 202, 189, 378, 459.
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}.