LCM of 564, 792, 384, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 792, 384, 454 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 564, 792, 384, 454. So, keep reading to learn more.
Given numbers are 564,792,384,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,792,384,454 is 135197568.
Find LCM of 564,792,384,454 with Prime Factorization
| 2 | 564, 792, 384, 454 |
| 2 | 282, 396, 192, 227 |
| 2 | 141, 198, 96, 227 |
| 3 | 141, 99, 48, 227 |
| 47, 33, 16, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 33 x 16 x 227 = 135197568
Therefore, the lowest common multiple of 564,792,384,454 is 135197568.
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.
564 x 792 x 384 x 454 = 77873799168
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
454 : 1, 2, 227, 454
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,792,384,454, is 2.
Now, the common factors can be found like this.
564:2x 2x 3x 47
792:2x 2x 2x 3x 3x 11
384:2x 2x 2x 2x 2x 2x 2x 3
454:2x 227
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 77873799168/(2x288)
LCM = 77873799168/576
LCM = 135197568
Thus, we can understand that the LCM of 564,792,384,454 is 135197568.
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FAQs on LCM of 564, 792, 384, 454
1. What is the LCM of 564, 792, 384, 454?
Answer: LCM of 564, 792, 384, 454 is 135197568.
2. How to calculate the LCM of 564, 792, 384, 454?
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 564, 792, 384, 454.
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}.