LCM of 265, 874, 551, 145, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 874, 551, 145, 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 265, 874, 551, 145, 459. So, keep reading to learn more.
Given numbers are 265,874,551,145,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,874,551,145,459 is 3082960710.
Find LCM of 265,874,551,145,459 with Prime Factorization
| 5 | 265, 874, 551, 145, 459 |
| 19 | 53, 874, 551, 29, 459 |
| 29 | 53, 46, 29, 29, 459 |
| 53, 46, 1, 1, 459 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 29 x 53 x 46 x 1 x 1 x 459 = 3082960710
Therefore, the lowest common multiple of 265,874,551,145,459 is 3082960710.
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.
265 x 874 x 551 x 145 x 459 = 8493556756050
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.
265 : 1, 5, 53, 265
874 : 1, 2, 19, 23, 38, 46, 437, 874
551 : 1, 19, 29, 551
145 : 1, 5, 29, 145
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 265,874,551,145,459, is 1.
Now, the common factors can be found like this.
265:5x 53
874:2x 19x 23
551:19x 29
145:5x 29
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.
5x 19x 29 = 2755
Therefore, the value for common factors is 2755.
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 = 8493556756050/(1x2755)
LCM = 8493556756050/2755
LCM = 3082960710
Thus, we can understand that the LCM of 265,874,551,145,459 is 3082960710.
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FAQs on LCM of 265, 874, 551, 145, 459
1. What is the LCM of 265, 874, 551, 145, 459?
Answer: LCM of 265, 874, 551, 145, 459 is 3082960710.
2. How to calculate the LCM of 265, 874, 551, 145, 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 265, 874, 551, 145, 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}.