LCM of 460, 551, 874, 460, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 551, 874, 460, 287 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 460, 551, 874, 460, 287. So, keep reading to learn more.
Given numbers are 460,551,874,460,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,551,874,460,287 is 72743020.
Find LCM of 460,551,874,460,287 with Prime Factorization
| 2 | 460, 551, 874, 460, 287 |
| 2 | 230, 551, 437, 230, 287 |
| 5 | 115, 551, 437, 115, 287 |
| 19 | 23, 551, 437, 23, 287 |
| 23 | 23, 29, 23, 23, 287 |
| 1, 29, 1, 1, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 23 x 1 x 29 x 1 x 1 x 287 = 72743020
Therefore, the lowest common multiple of 460,551,874,460,287 is 72743020.
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.
460 x 551 x 874 x 460 x 287 = 29245603760800
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
551 : 1, 19, 29, 551
874 : 1, 2, 19, 23, 38, 46, 437, 874
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,551,874,460,287, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
551:19x 29
874:2x 19x 23
460:2x 2x 5x 23
287:7x 41
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 5x 19x 23x 23 = 402040
Therefore, the value for common factors is 402040.
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 = 29245603760800/(1x402040)
LCM = 29245603760800/402040
LCM = 72743020
Thus, we can understand that the LCM of 460,551,874,460,287 is 72743020.
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FAQs on LCM of 460, 551, 874, 460, 287
1. What is the LCM of 460, 551, 874, 460, 287?
Answer: LCM of 460, 551, 874, 460, 287 is 72743020.
2. How to calculate the LCM of 460, 551, 874, 460, 287?
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 460, 551, 874, 460, 287.
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}.