LCM of 874, 754, 460, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 754, 460, 522 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 874, 754, 460, 522. So, keep reading to learn more.
Given numbers are 874,754,460,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,754,460,522 is 29654820.
Find LCM of 874,754,460,522 with Prime Factorization
| 2 | 874, 754, 460, 522 |
| 23 | 437, 377, 230, 261 |
| 29 | 19, 377, 10, 261 |
| 19, 13, 10, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 29 x 19 x 13 x 10 x 9 = 29654820
Therefore, the lowest common multiple of 874,754,460,522 is 29654820.
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.
874 x 754 x 460 x 522 = 158238119520
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
754 : 1, 2, 13, 26, 29, 58, 377, 754
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,754,460,522, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
754:2x 13x 29
460:2x 2x 5x 23
522:2x 3x 3x 29
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 23x 29 = 2668
Therefore, the value for common factors is 2668.
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 = 158238119520/(2x2668)
LCM = 158238119520/5336
LCM = 29654820
Thus, we can understand that the LCM of 874,754,460,522 is 29654820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 754, 460, 522
1. What is the LCM of 874, 754, 460, 522?
Answer: LCM of 874, 754, 460, 522 is 29654820.
2. How to calculate the LCM of 874, 754, 460, 522?
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 874, 754, 460, 522.
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}.