LCM of 765, 448, 205, 748, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 448, 205, 748, 554 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 765, 448, 205, 748, 554. So, keep reading to learn more.
Given numbers are 765,448,205,748,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,448,205,748,554 is 42814981440.
Find LCM of 765,448,205,748,554 with Prime Factorization
| 2 | 765, 448, 205, 748, 554 |
| 2 | 765, 224, 205, 374, 277 |
| 5 | 765, 112, 205, 187, 277 |
| 17 | 153, 112, 41, 187, 277 |
| 9, 112, 41, 11, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 9 x 112 x 41 x 11 x 277 = 42814981440
Therefore, the lowest common multiple of 765,448,205,748,554 is 42814981440.
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.
765 x 448 x 205 x 748 x 554 = 29114187379200
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
205 : 1, 5, 41, 205
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,448,205,748,554, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
448:2x 2x 2x 2x 2x 2x 7
205:5x 41
748:2x 2x 11x 17
554:2x 277
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 17 = 680
Therefore, the value for common factors is 680.
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 = 29114187379200/(1x680)
LCM = 29114187379200/680
LCM = 42814981440
Thus, we can understand that the LCM of 765,448,205,748,554 is 42814981440.
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FAQs on LCM of 765, 448, 205, 748, 554
1. What is the LCM of 765, 448, 205, 748, 554?
Answer: LCM of 765, 448, 205, 748, 554 is 42814981440.
2. How to calculate the LCM of 765, 448, 205, 748, 554?
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 765, 448, 205, 748, 554.
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}.