LCM of 135, 456, 664, 897, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 456, 664, 897, 521 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 135, 456, 664, 897, 521. So, keep reading to learn more.
Given numbers are 135,456,664,897,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,456,664,897,521 is 265316561640.
Find LCM of 135,456,664,897,521 with Prime Factorization
| 2 | 135, 456, 664, 897, 521 |
| 2 | 135, 228, 332, 897, 521 |
| 2 | 135, 114, 166, 897, 521 |
| 3 | 135, 57, 83, 897, 521 |
| 45, 19, 83, 299, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 45 x 19 x 83 x 299 x 521 = 265316561640
Therefore, the lowest common multiple of 135,456,664,897,521 is 265316561640.
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.
135 x 456 x 664 x 897 x 521 = 19102792438080
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
664 : 1, 2, 4, 8, 83, 166, 332, 664
897 : 1, 3, 13, 23, 39, 69, 299, 897
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,456,664,897,521, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
456:2x 2x 2x 3x 19
664:2x 2x 2x 83
897:3x 13x 23
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 19102792438080/(1x72)
LCM = 19102792438080/72
LCM = 265316561640
Thus, we can understand that the LCM of 135,456,664,897,521 is 265316561640.
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FAQs on LCM of 135, 456, 664, 897, 521
1. What is the LCM of 135, 456, 664, 897, 521?
Answer: LCM of 135, 456, 664, 897, 521 is 265316561640.
2. How to calculate the LCM of 135, 456, 664, 897, 521?
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 135, 456, 664, 897, 521.
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}.