LCM of 459, 578, 770, 468, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 578, 770, 468, 741 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 459, 578, 770, 468, 741. So, keep reading to learn more.
Given numbers are 459,578,770,468,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,578,770,468,741 is 2968105140.
Find LCM of 459,578,770,468,741 with Prime Factorization
| 2 | 459, 578, 770, 468, 741 |
| 3 | 459, 289, 385, 234, 741 |
| 3 | 153, 289, 385, 78, 247 |
| 13 | 51, 289, 385, 26, 247 |
| 17 | 51, 289, 385, 2, 19 |
| 3, 17, 385, 2, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 3 x 17 x 385 x 2 x 19 = 2968105140
Therefore, the lowest common multiple of 459,578,770,468,741 is 2968105140.
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.
459 x 578 x 770 x 468 x 741 = 70842733481520
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
578 : 1, 2, 17, 34, 289, 578
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,578,770,468,741, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
578:2x 17x 17
770:2x 5x 7x 11
468:2x 2x 3x 3x 13
741:3x 13x 19
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 3x 3x 3x 13x 17 = 23868
Therefore, the value for common factors is 23868.
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 = 70842733481520/(1x23868)
LCM = 70842733481520/23868
LCM = 2968105140
Thus, we can understand that the LCM of 459,578,770,468,741 is 2968105140.
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FAQs on LCM of 459, 578, 770, 468, 741
1. What is the LCM of 459, 578, 770, 468, 741?
Answer: LCM of 459, 578, 770, 468, 741 is 2968105140.
2. How to calculate the LCM of 459, 578, 770, 468, 741?
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 459, 578, 770, 468, 741.
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}.