LCM of 448, 726, 768, 732, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 726, 768, 732, 510 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 448, 726, 768, 732, 510. So, keep reading to learn more.
Given numbers are 448,726,768,732,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,726,768,732,510 is 3372821760.
Find LCM of 448,726,768,732,510 with Prime Factorization
| 2 | 448, 726, 768, 732, 510 |
| 2 | 224, 363, 384, 366, 255 |
| 2 | 112, 363, 192, 183, 255 |
| 2 | 56, 363, 96, 183, 255 |
| 2 | 28, 363, 48, 183, 255 |
| 2 | 14, 363, 24, 183, 255 |
| 3 | 7, 363, 12, 183, 255 |
| 7, 121, 4, 61, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 121 x 4 x 61 x 85 = 3372821760
Therefore, the lowest common multiple of 448,726,768,732,510 is 3372821760.
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.
448 x 726 x 768 x 732 x 510 = 93251776020480
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,726,768,732,510, is 2.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
726:2x 3x 11x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
732:2x 2x 3x 61
510:2x 3x 5x 17
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 2x 2x 2x 2x 3x 3x 3 = 13824
Therefore, the value for common factors is 13824.
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 = 93251776020480/(2x13824)
LCM = 93251776020480/27648
LCM = 3372821760
Thus, we can understand that the LCM of 448,726,768,732,510 is 3372821760.
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FAQs on LCM of 448, 726, 768, 732, 510
1. What is the LCM of 448, 726, 768, 732, 510?
Answer: LCM of 448, 726, 768, 732, 510 is 3372821760.
2. How to calculate the LCM of 448, 726, 768, 732, 510?
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 448, 726, 768, 732, 510.
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}.