LCM of 460, 345, 874, 263
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 345, 874, 263 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, 345, 874, 263. So, keep reading to learn more.
Given numbers are 460,345,874,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,345,874,263 is 6895860.
Find LCM of 460,345,874,263 with Prime Factorization
| 2 | 460, 345, 874, 263 |
| 5 | 230, 345, 437, 263 |
| 23 | 46, 69, 437, 263 |
| 2, 3, 19, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 2 x 3 x 19 x 263 = 6895860
Therefore, the lowest common multiple of 460,345,874,263 is 6895860.
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 345 x 874 x 263 = 36479099400
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
874 : 1, 2, 19, 23, 38, 46, 437, 874
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,345,874,263, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
345:3x 5x 23
874:2x 19x 23
263:263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23x 23 = 5290
Therefore, the value for common factors is 5290.
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 = 36479099400/(1x5290)
LCM = 36479099400/5290
LCM = 6895860
Thus, we can understand that the LCM of 460,345,874,263 is 6895860.
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FAQs on LCM of 460, 345, 874, 263
1. What is the LCM of 460, 345, 874, 263?
Answer: LCM of 460, 345, 874, 263 is 6895860.
2. How to calculate the LCM of 460, 345, 874, 263?
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, 345, 874, 263.
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}.